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Finding the Fourth Proportional to 415,391.71, 623,032.17 and 115,847.20

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Solution

The fourth proportional to 415,391.71, 623,032.17 and 115,847.20 is: 173,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,391.71 : 623,032.17 = 115,847.20 : x
  2. Step 2: Convert to fraction form
    415,391.71/623,032.17 = 115,847.20/x
  3. Step 3: Cross multiply
    415,391.71x = 623,032.17 × 115,847.20
  4. Step 4: Simplify right side
    415,391.71x = 72,176,529,289.26
  5. Step 5: Solve for x
    x = 72,176,529,289.26/415,391.71
  6. Step 6: Final answer
    x = 173,755.35

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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.