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Finding the Fourth Proportional to 577,115.09, 865,716.12 and 172,275.32

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Solution

The fourth proportional to 577,115.09, 865,716.12 and 172,275.32 is: 258,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,115.09 : 865,716.12 = 172,275.32 : x
  2. Step 2: Convert to fraction form
    577,115.09/865,716.12 = 172,275.32/x
  3. Step 3: Cross multiply
    577,115.09x = 865,716.12 × 172,275.32
  4. Step 4: Simplify right side
    577,115.09x = 149,141,517,273.58
  5. Step 5: Solve for x
    x = 149,141,517,273.58/577,115.09
  6. Step 6: Final answer
    x = 258,425.96

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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.