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Finding the Fourth Proportional to 287,768.24, 431,691.76 and 98,177.76

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Solution

The fourth proportional to 287,768.24, 431,691.76 and 98,177.76 is: 147,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,768.24 : 431,691.76 = 98,177.76 : x
  2. Step 2: Convert to fraction form
    287,768.24/431,691.76 = 98,177.76/x
  3. Step 3: Cross multiply
    287,768.24x = 431,691.76 × 98,177.76
  4. Step 4: Simplify right side
    287,768.24x = 42,382,530,007.26
  5. Step 5: Solve for x
    x = 42,382,530,007.26/287,768.24
  6. Step 6: Final answer
    x = 147,280.08

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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.