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Finding the Fourth Proportional to 498,393.61, 687,784.16 and 272,039.11

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Solution

The fourth proportional to 498,393.61, 687,784.16 and 272,039.11 is: 375,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,393.61 : 687,784.16 = 272,039.11 : x
  2. Step 2: Convert to fraction form
    498,393.61/687,784.16 = 272,039.11/x
  3. Step 3: Cross multiply
    498,393.61x = 687,784.16 × 272,039.11
  4. Step 4: Simplify right side
    498,393.61x = 187,104,189,719.14
  5. Step 5: Solve for x
    x = 187,104,189,719.14/498,393.61
  6. Step 6: Final answer
    x = 375,414.51

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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.