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Finding the Fourth Proportional to 419,172.24, 628,565.61 and 134,810.28

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Solution

The fourth proportional to 419,172.24, 628,565.61 and 134,810.28 is: 202,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,172.24 : 628,565.61 = 134,810.28 : x
  2. Step 2: Convert to fraction form
    419,172.24/628,565.61 = 134,810.28/x
  3. Step 3: Cross multiply
    419,172.24x = 628,565.61 × 134,810.28
  4. Step 4: Simplify right side
    419,172.24x = 84,737,105,882.47
  5. Step 5: Solve for x
    x = 84,737,105,882.47/419,172.24
  6. Step 6: Final answer
    x = 202,153.43

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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.