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Finding the Fourth Proportional to 391,429.20, 587,143.80 and 338,941.20

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Solution

The fourth proportional to 391,429.20, 587,143.80 and 338,941.20 is: 508,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,429.20 : 587,143.80 = 338,941.20 : x
  2. Step 2: Convert to fraction form
    391,429.20/587,143.80 = 338,941.20/x
  3. Step 3: Cross multiply
    391,429.20x = 587,143.80 × 338,941.20
  4. Step 4: Simplify right side
    391,429.20x = 199,007,224,144.56
  5. Step 5: Solve for x
    x = 199,007,224,144.56/391,429.20
  6. Step 6: Final answer
    x = 508,411.80

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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.