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Finding the Fourth Proportional to 442,743.78, 663,554.95 and 282,757.91

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Solution

The fourth proportional to 442,743.78, 663,554.95 and 282,757.91 is: 423,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,743.78 : 663,554.95 = 282,757.91 : x
  2. Step 2: Convert to fraction form
    442,743.78/663,554.95 = 282,757.91/x
  3. Step 3: Cross multiply
    442,743.78x = 663,554.95 × 282,757.91
  4. Step 4: Simplify right side
    442,743.78x = 187,625,406,807.49
  5. Step 5: Solve for x
    x = 187,625,406,807.49/442,743.78
  6. Step 6: Final answer
    x = 423,778.75

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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.