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Finding the Fourth Proportional to 442,735.83, 663,709.28 and 162,187.47

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Solution

The fourth proportional to 442,735.83, 663,709.28 and 162,187.47 is: 243,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,735.83 : 663,709.28 = 162,187.47 : x
  2. Step 2: Convert to fraction form
    442,735.83/663,709.28 = 162,187.47/x
  3. Step 3: Cross multiply
    442,735.83x = 663,709.28 × 162,187.47
  4. Step 4: Simplify right side
    442,735.83x = 107,645,328,127.78
  5. Step 5: Solve for x
    x = 107,645,328,127.78/442,735.83
  6. Step 6: Final answer
    x = 243,136.70

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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.