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Finding the Fourth Proportional to 747,163, 1,031,085.18 and 478,891

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Solution

The fourth proportional to 747,163, 1,031,085.18 and 478,891 is: 660,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,163 : 1,031,085.18 = 478,891 : x
  2. Step 2: Convert to fraction form
    747,163/1,031,085.18 = 478,891/x
  3. Step 3: Cross multiply
    747,163x = 1,031,085.18 × 478,891
  4. Step 4: Simplify right side
    747,163x = 493,777,412,935.38
  5. Step 5: Solve for x
    x = 493,777,412,935.38/747,163
  6. Step 6: Final answer
    x = 660,869.73

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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.