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Finding the Fourth Proportional to 715,382.60, 987,282.92 and 409,554.92

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Solution

The fourth proportional to 715,382.60, 987,282.92 and 409,554.92 is: 565,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,382.60 : 987,282.92 = 409,554.92 : x
  2. Step 2: Convert to fraction form
    715,382.60/987,282.92 = 409,554.92/x
  3. Step 3: Cross multiply
    715,382.60x = 987,282.92 × 409,554.92
  4. Step 4: Simplify right side
    715,382.60x = 404,346,570,333.78
  5. Step 5: Solve for x
    x = 404,346,570,333.78/715,382.60
  6. Step 6: Final answer
    x = 565,217.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.