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Finding the Fourth Proportional to 661,694.80, 992,542.20 and 409,176.40

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Solution

The fourth proportional to 661,694.80, 992,542.20 and 409,176.40 is: 613,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,694.80 : 992,542.20 = 409,176.40 : x
  2. Step 2: Convert to fraction form
    661,694.80/992,542.20 = 409,176.40/x
  3. Step 3: Cross multiply
    661,694.80x = 992,542.20 × 409,176.40
  4. Step 4: Simplify right side
    661,694.80x = 406,124,844,244.08
  5. Step 5: Solve for x
    x = 406,124,844,244.08/661,694.80
  6. Step 6: Final answer
    x = 613,764.60

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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.