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Finding the Fourth Proportional to 411,737.26, 617,655.70 and 145,443.28

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Solution

The fourth proportional to 411,737.26, 617,655.70 and 145,443.28 is: 218,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,737.26 : 617,655.70 = 145,443.28 : x
  2. Step 2: Convert to fraction form
    411,737.26/617,655.70 = 145,443.28/x
  3. Step 3: Cross multiply
    411,737.26x = 617,655.70 × 145,443.28
  4. Step 4: Simplify right side
    411,737.26x = 89,833,870,918.70
  5. Step 5: Solve for x
    x = 89,833,870,918.70/411,737.26
  6. Step 6: Final answer
    x = 218,182.52

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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.