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Finding the Fourth Proportional to 510,834.60, 766,251.90 and 431,118.45

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Solution

The fourth proportional to 510,834.60, 766,251.90 and 431,118.45 is: 646,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,834.60 : 766,251.90 = 431,118.45 : x
  2. Step 2: Convert to fraction form
    510,834.60/766,251.90 = 431,118.45/x
  3. Step 3: Cross multiply
    510,834.60x = 766,251.90 × 431,118.45
  4. Step 4: Simplify right side
    510,834.60x = 330,345,331,437.56
  5. Step 5: Solve for x
    x = 330,345,331,437.56/510,834.60
  6. Step 6: Final answer
    x = 646,677.68

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.