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Finding the Fourth Proportional to 285,472.32, 428,474.16 and 145,335.84

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Solution

The fourth proportional to 285,472.32, 428,474.16 and 145,335.84 is: 218,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,472.32 : 428,474.16 = 145,335.84 : x
  2. Step 2: Convert to fraction form
    285,472.32/428,474.16 = 145,335.84/x
  3. Step 3: Cross multiply
    285,472.32x = 428,474.16 × 145,335.84
  4. Step 4: Simplify right side
    285,472.32x = 62,272,651,961.89
  5. Step 5: Solve for x
    x = 62,272,651,961.89/285,472.32
  6. Step 6: Final answer
    x = 218,139.02

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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.