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Finding the Fourth Proportional to 285,390.95, 428,052.38 and 75,045.29

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Solution

The fourth proportional to 285,390.95, 428,052.38 and 75,045.29 is: 112,558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,390.95 : 428,052.38 = 75,045.29 : x
  2. Step 2: Convert to fraction form
    285,390.95/428,052.38 = 75,045.29/x
  3. Step 3: Cross multiply
    285,390.95x = 428,052.38 × 75,045.29
  4. Step 4: Simplify right side
    285,390.95x = 32,123,312,476.80
  5. Step 5: Solve for x
    x = 32,123,312,476.80/285,390.95
  6. Step 6: Final answer
    x = 112,558.98

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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.