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Finding the Fourth Proportional to 417,892, 576,690.96 and 239,044

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Solution

The fourth proportional to 417,892, 576,690.96 and 239,044 is: 329,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,892 : 576,690.96 = 239,044 : x
  2. Step 2: Convert to fraction form
    417,892/576,690.96 = 239,044/x
  3. Step 3: Cross multiply
    417,892x = 576,690.96 × 239,044
  4. Step 4: Simplify right side
    417,892x = 137,854,513,842.24
  5. Step 5: Solve for x
    x = 137,854,513,842.24/417,892
  6. Step 6: Final answer
    x = 329,880.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.