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Finding the Fourth Proportional to 478,472.16, 717,494.96 and 253,781.45

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Solution

The fourth proportional to 478,472.16, 717,494.96 and 253,781.45 is: 380,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,472.16 : 717,494.96 = 253,781.45 : x
  2. Step 2: Convert to fraction form
    478,472.16/717,494.96 = 253,781.45/x
  3. Step 3: Cross multiply
    478,472.16x = 717,494.96 × 253,781.45
  4. Step 4: Simplify right side
    478,472.16x = 182,086,915,089.99
  5. Step 5: Solve for x
    x = 182,086,915,089.99/478,472.16
  6. Step 6: Final answer
    x = 380,559.06

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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.