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Finding the Fourth Proportional to 512,235.60, 766,603.80 and 470,245.20

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Solution

The fourth proportional to 512,235.60, 766,603.80 and 470,245.20 is: 703,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,235.60 : 766,603.80 = 470,245.20 : x
  2. Step 2: Convert to fraction form
    512,235.60/766,603.80 = 470,245.20/x
  3. Step 3: Cross multiply
    512,235.60x = 766,603.80 × 470,245.20
  4. Step 4: Simplify right side
    512,235.60x = 360,491,757,251.76
  5. Step 5: Solve for x
    x = 360,491,757,251.76/512,235.60
  6. Step 6: Final answer
    x = 703,761.62

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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.