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Finding the Fourth Proportional to 415,431.70, 623,115.15 and 162,663.10

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Solution

The fourth proportional to 415,431.70, 623,115.15 and 162,663.10 is: 243,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,431.70 : 623,115.15 = 162,663.10 : x
  2. Step 2: Convert to fraction form
    415,431.70/623,115.15 = 162,663.10/x
  3. Step 3: Cross multiply
    415,431.70x = 623,115.15 × 162,663.10
  4. Step 4: Simplify right side
    415,431.70x = 101,357,841,955.97
  5. Step 5: Solve for x
    x = 101,357,841,955.97/415,431.70
  6. Step 6: Final answer
    x = 243,981.96

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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.