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Finding the Fourth Proportional to 361,045.32, 498,250.31 and 197,708.72

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Solution

The fourth proportional to 361,045.32, 498,250.31 and 197,708.72 is: 272,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,045.32 : 498,250.31 = 197,708.72 : x
  2. Step 2: Convert to fraction form
    361,045.32/498,250.31 = 197,708.72/x
  3. Step 3: Cross multiply
    361,045.32x = 498,250.31 × 197,708.72
  4. Step 4: Simplify right side
    361,045.32x = 98,508,427,549.91
  5. Step 5: Solve for x
    x = 98,508,427,549.91/361,045.32
  6. Step 6: Final answer
    x = 272,842.28

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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.