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Finding the Fourth Proportional to 415,687.72, 623,281.60 and 162,666.40

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Solution

The fourth proportional to 415,687.72, 623,281.60 and 162,666.40 is: 243,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,687.72 : 623,281.60 = 162,666.40 : x
  2. Step 2: Convert to fraction form
    415,687.72/623,281.60 = 162,666.40/x
  3. Step 3: Cross multiply
    415,687.72x = 623,281.60 × 162,666.40
  4. Step 4: Simplify right side
    415,687.72x = 101,386,974,058.24
  5. Step 5: Solve for x
    x = 101,386,974,058.24/415,687.72
  6. Step 6: Final answer
    x = 243,901.78

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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.