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Finding the Fourth Proportional to 399,951.95, 599,929.10 and 115,665.64

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Solution

The fourth proportional to 399,951.95, 599,929.10 and 115,665.64 is: 173,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,951.95 : 599,929.10 = 115,665.64 : x
  2. Step 2: Convert to fraction form
    399,951.95/599,929.10 = 115,665.64/x
  3. Step 3: Cross multiply
    399,951.95x = 599,929.10 × 115,665.64
  4. Step 4: Simplify right side
    399,951.95x = 69,391,181,227.97
  5. Step 5: Solve for x
    x = 69,391,181,227.97/399,951.95
  6. Step 6: Final answer
    x = 173,498.80

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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.