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Finding the Fourth Proportional to 415,460, 623,126.82 and 115,909.04

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Solution

The fourth proportional to 415,460, 623,126.82 and 115,909.04 is: 173,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,460 : 623,126.82 = 115,909.04 : x
  2. Step 2: Convert to fraction form
    415,460/623,126.82 = 115,909.04/x
  3. Step 3: Cross multiply
    415,460x = 623,126.82 × 115,909.04
  4. Step 4: Simplify right side
    415,460x = 72,226,031,504.45
  5. Step 5: Solve for x
    x = 72,226,031,504.45/415,460
  6. Step 6: Final answer
    x = 173,845.93

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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.