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Finding the Fourth Proportional to 510,634.68, 766,062.12 and 254,606.85

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Solution

The fourth proportional to 510,634.68, 766,062.12 and 254,606.85 is: 381,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,634.68 : 766,062.12 = 254,606.85 : x
  2. Step 2: Convert to fraction form
    510,634.68/766,062.12 = 254,606.85/x
  3. Step 3: Cross multiply
    510,634.68x = 766,062.12 × 254,606.85
  4. Step 4: Simplify right side
    510,634.68x = 195,044,663,277.52
  5. Step 5: Solve for x
    x = 195,044,663,277.52/510,634.68
  6. Step 6: Final answer
    x = 381,965.17

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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.