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Finding the Fourth Proportional to 415,702.37, 623,565.17 and 135,219.62

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Solution

The fourth proportional to 415,702.37, 623,565.17 and 135,219.62 is: 202,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,702.37 : 623,565.17 = 135,219.62 : x
  2. Step 2: Convert to fraction form
    415,702.37/623,565.17 = 135,219.62/x
  3. Step 3: Cross multiply
    415,702.37x = 623,565.17 × 135,219.62
  4. Step 4: Simplify right side
    415,702.37x = 84,318,241,538.71
  5. Step 5: Solve for x
    x = 84,318,241,538.71/415,702.37
  6. Step 6: Final answer
    x = 202,833.20

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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.