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Finding the Fourth Proportional to 661,647.80, 992,471.70 and 409,129.40

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Solution

The fourth proportional to 661,647.80, 992,471.70 and 409,129.40 is: 613,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,647.80 : 992,471.70 = 409,129.40 : x
  2. Step 2: Convert to fraction form
    661,647.80/992,471.70 = 409,129.40/x
  3. Step 3: Cross multiply
    661,647.80x = 992,471.70 × 409,129.40
  4. Step 4: Simplify right side
    661,647.80x = 406,049,351,137.98
  5. Step 5: Solve for x
    x = 406,049,351,137.98/661,647.80
  6. Step 6: Final answer
    x = 613,694.10

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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.