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Finding the Fourth Proportional to 508,711.32, 702,024.36 and 317,835.42

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Solution

The fourth proportional to 508,711.32, 702,024.36 and 317,835.42 is: 438,614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,711.32 : 702,024.36 = 317,835.42 : x
  2. Step 2: Convert to fraction form
    508,711.32/702,024.36 = 317,835.42/x
  3. Step 3: Cross multiply
    508,711.32x = 702,024.36 × 317,835.42
  4. Step 4: Simplify right side
    508,711.32x = 223,128,207,310.83
  5. Step 5: Solve for x
    x = 223,128,207,310.83/508,711.32
  6. Step 6: Final answer
    x = 438,614.59

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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.