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Finding the Fourth Proportional to 411,110.70, 616,941.45 and 144,871.80

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Solution

The fourth proportional to 411,110.70, 616,941.45 and 144,871.80 is: 217,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,110.70 : 616,941.45 = 144,871.80 : x
  2. Step 2: Convert to fraction form
    411,110.70/616,941.45 = 144,871.80/x
  3. Step 3: Cross multiply
    411,110.70x = 616,941.45 × 144,871.80
  4. Step 4: Simplify right side
    411,110.70x = 89,377,418,356.11
  5. Step 5: Solve for x
    x = 89,377,418,356.11/411,110.70
  6. Step 6: Final answer
    x = 217,404.75

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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.