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Finding the Fourth Proportional to 415,456.84, 623,290.16 and 115,937.20

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Solution

The fourth proportional to 415,456.84, 623,290.16 and 115,937.20 is: 173,935.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,456.84 : 623,290.16 = 115,937.20 : x
  2. Step 2: Convert to fraction form
    415,456.84/623,290.16 = 115,937.20/x
  3. Step 3: Cross multiply
    415,456.84x = 623,290.16 × 115,937.20
  4. Step 4: Simplify right side
    415,456.84x = 72,262,515,937.95
  5. Step 5: Solve for x
    x = 72,262,515,937.95/415,456.84
  6. Step 6: Final answer
    x = 173,935.07

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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.