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Finding the Fourth Proportional to 415,367.29, 623,041.98 and 115,839.91

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Solution

The fourth proportional to 415,367.29, 623,041.98 and 115,839.91 is: 173,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,367.29 : 623,041.98 = 115,839.91 : x
  2. Step 2: Convert to fraction form
    415,367.29/623,041.98 = 115,839.91/x
  3. Step 3: Cross multiply
    415,367.29x = 623,041.98 × 115,839.91
  4. Step 4: Simplify right side
    415,367.29x = 72,173,126,889.42
  5. Step 5: Solve for x
    x = 72,173,126,889.42/415,367.29
  6. Step 6: Final answer
    x = 173,757.37

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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.