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Finding the Fourth Proportional to 408,496.80, 613,244.40 and 231,127.20

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Solution

The fourth proportional to 408,496.80, 613,244.40 and 231,127.20 is: 346,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,496.80 : 613,244.40 = 231,127.20 : x
  2. Step 2: Convert to fraction form
    408,496.80/613,244.40 = 231,127.20/x
  3. Step 3: Cross multiply
    408,496.80x = 613,244.40 × 231,127.20
  4. Step 4: Simplify right side
    408,496.80x = 141,737,461,087.68
  5. Step 5: Solve for x
    x = 141,737,461,087.68/408,496.80
  6. Step 6: Final answer
    x = 346,973.25

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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.