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Finding the Fourth Proportional to 285,940.59, 428,913.95 and 86,262.70

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Solution

The fourth proportional to 285,940.59, 428,913.95 and 86,262.70 is: 129,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,940.59 : 428,913.95 = 86,262.70 : x
  2. Step 2: Convert to fraction form
    285,940.59/428,913.95 = 86,262.70/x
  3. Step 3: Cross multiply
    285,940.59x = 428,913.95 × 86,262.70
  4. Step 4: Simplify right side
    285,940.59x = 36,999,275,394.67
  5. Step 5: Solve for x
    x = 36,999,275,394.67/285,940.59
  6. Step 6: Final answer
    x = 129,394.97

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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.