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Finding the Fourth Proportional to 402,937.40, 603,677.10 and 319,248.20

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Solution

The fourth proportional to 402,937.40, 603,677.10 and 319,248.20 is: 478,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,937.40 : 603,677.10 = 319,248.20 : x
  2. Step 2: Convert to fraction form
    402,937.40/603,677.10 = 319,248.20/x
  3. Step 3: Cross multiply
    402,937.40x = 603,677.10 × 319,248.20
  4. Step 4: Simplify right side
    402,937.40x = 192,722,827,556.22
  5. Step 5: Solve for x
    x = 192,722,827,556.22/402,937.40
  6. Step 6: Final answer
    x = 478,294.71

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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.