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Finding the Fourth Proportional to 513,752.80, 709,000.56 and 317,562.88

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Solution

The fourth proportional to 513,752.80, 709,000.56 and 317,562.88 is: 438,250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,752.80 : 709,000.56 = 317,562.88 : x
  2. Step 2: Convert to fraction form
    513,752.80/709,000.56 = 317,562.88/x
  3. Step 3: Cross multiply
    513,752.80x = 709,000.56 × 317,562.88
  4. Step 4: Simplify right side
    513,752.80x = 225,152,259,755.21
  5. Step 5: Solve for x
    x = 225,152,259,755.21/513,752.80
  6. Step 6: Final answer
    x = 438,250.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.