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Finding the Fourth Proportional to 384,655.60, 576,925.02 and 135,279.28

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Solution

The fourth proportional to 384,655.60, 576,925.02 and 135,279.28 is: 202,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,655.60 : 576,925.02 = 135,279.28 : x
  2. Step 2: Convert to fraction form
    384,655.60/576,925.02 = 135,279.28/x
  3. Step 3: Cross multiply
    384,655.60x = 576,925.02 × 135,279.28
  4. Step 4: Simplify right side
    384,655.60x = 78,046,001,319.59
  5. Step 5: Solve for x
    x = 78,046,001,319.59/384,655.60
  6. Step 6: Final answer
    x = 202,898.39

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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.