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Finding the Fourth Proportional to 285,476.95, 428,481.10 and 145,340.47

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Solution

The fourth proportional to 285,476.95, 428,481.10 and 145,340.47 is: 218,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,476.95 : 428,481.10 = 145,340.47 : x
  2. Step 2: Convert to fraction form
    285,476.95/428,481.10 = 145,340.47/x
  3. Step 3: Cross multiply
    285,476.95x = 428,481.10 × 145,340.47
  4. Step 4: Simplify right side
    285,476.95x = 62,275,644,460.12
  5. Step 5: Solve for x
    x = 62,275,644,460.12/285,476.95
  6. Step 6: Final answer
    x = 218,145.96

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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.