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Finding the Fourth Proportional to 415,956.61, 623,934.93 and 135,473.86

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Solution

The fourth proportional to 415,956.61, 623,934.93 and 135,473.86 is: 203,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,956.61 : 623,934.93 = 135,473.86 : x
  2. Step 2: Convert to fraction form
    415,956.61/623,934.93 = 135,473.86/x
  3. Step 3: Cross multiply
    415,956.61x = 623,934.93 × 135,473.86
  4. Step 4: Simplify right side
    415,956.61x = 84,526,870,236.26
  5. Step 5: Solve for x
    x = 84,526,870,236.26/415,956.61
  6. Step 6: Final answer
    x = 203,210.79

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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.