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Finding the Fourth Proportional to 762,344, 1,143,516 and 522,221.12

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Solution

The fourth proportional to 762,344, 1,143,516 and 522,221.12 is: 783,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,344 : 1,143,516 = 522,221.12 : x
  2. Step 2: Convert to fraction form
    762,344/1,143,516 = 522,221.12/x
  3. Step 3: Cross multiply
    762,344x = 1,143,516 × 522,221.12
  4. Step 4: Simplify right side
    762,344x = 597,168,206,257.92
  5. Step 5: Solve for x
    x = 597,168,206,257.92/762,344
  6. Step 6: Final answer
    x = 783,331.68

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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.