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Finding the Fourth Proportional to 307,643.20, 461,551.20 and 149,876.80

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Solution

The fourth proportional to 307,643.20, 461,551.20 and 149,876.80 is: 224,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,643.20 : 461,551.20 = 149,876.80 : x
  2. Step 2: Convert to fraction form
    307,643.20/461,551.20 = 149,876.80/x
  3. Step 3: Cross multiply
    307,643.20x = 461,551.20 × 149,876.80
  4. Step 4: Simplify right side
    307,643.20x = 69,175,816,892.16
  5. Step 5: Solve for x
    x = 69,175,816,892.16/307,643.20
  6. Step 6: Final answer
    x = 224,857.29

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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.