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Finding the Fourth Proportional to 747,190, 1,031,122.20 and 478,918

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Solution

The fourth proportional to 747,190, 1,031,122.20 and 478,918 is: 660,906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,190 : 1,031,122.20 = 478,918 : x
  2. Step 2: Convert to fraction form
    747,190/1,031,122.20 = 478,918/x
  3. Step 3: Cross multiply
    747,190x = 1,031,122.20 × 478,918
  4. Step 4: Simplify right side
    747,190x = 493,822,981,779.60
  5. Step 5: Solve for x
    x = 493,822,981,779.60/747,190
  6. Step 6: Final answer
    x = 660,906.84

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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.