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Finding the Fourth Proportional to 661,639.10, 992,458.65 and 409,696.70

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Solution

The fourth proportional to 661,639.10, 992,458.65 and 409,696.70 is: 614,545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,639.10 : 992,458.65 = 409,696.70 : x
  2. Step 2: Convert to fraction form
    661,639.10/992,458.65 = 409,696.70/x
  3. Step 3: Cross multiply
    661,639.10x = 992,458.65 × 409,696.70
  4. Step 4: Simplify right side
    661,639.10x = 406,607,033,791.46
  5. Step 5: Solve for x
    x = 406,607,033,791.46/661,639.10
  6. Step 6: Final answer
    x = 614,545.05

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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.