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Finding the Fourth Proportional to 287,049.88, 430,618.56 and 146,761.12

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Solution

The fourth proportional to 287,049.88, 430,618.56 and 146,761.12 is: 220,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,049.88 : 430,618.56 = 146,761.12 : x
  2. Step 2: Convert to fraction form
    287,049.88/430,618.56 = 146,761.12/x
  3. Step 3: Cross multiply
    287,049.88x = 430,618.56 × 146,761.12
  4. Step 4: Simplify right side
    287,049.88x = 63,198,062,158.39
  5. Step 5: Solve for x
    x = 63,198,062,158.39/287,049.88
  6. Step 6: Final answer
    x = 220,164.04

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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.