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Finding the Fourth Proportional to 424,644, 637,064.42 and 144,161.25

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Solution

The fourth proportional to 424,644, 637,064.42 and 144,161.25 is: 216,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,644 : 637,064.42 = 144,161.25 : x
  2. Step 2: Convert to fraction form
    424,644/637,064.42 = 144,161.25/x
  3. Step 3: Cross multiply
    424,644x = 637,064.42 × 144,161.25
  4. Step 4: Simplify right side
    424,644x = 91,840,002,396.92
  5. Step 5: Solve for x
    x = 91,840,002,396.92/424,644
  6. Step 6: Final answer
    x = 216,275.29

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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.