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Finding the Fourth Proportional to 567,031.28, 782,505 and 312,381.68

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Solution

The fourth proportional to 567,031.28, 782,505 and 312,381.68 is: 431,087.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,031.28 : 782,505 = 312,381.68 : x
  2. Step 2: Convert to fraction form
    567,031.28/782,505 = 312,381.68/x
  3. Step 3: Cross multiply
    567,031.28x = 782,505 × 312,381.68
  4. Step 4: Simplify right side
    567,031.28x = 244,440,226,508.40
  5. Step 5: Solve for x
    x = 244,440,226,508.40/567,031.28
  6. Step 6: Final answer
    x = 431,087.73

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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.