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Finding the Fourth Proportional to 715,382.60, 987,282.91 and 409,554.91

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Solution

The fourth proportional to 715,382.60, 987,282.91 and 409,554.91 is: 565,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,382.60 : 987,282.91 = 409,554.91 : x
  2. Step 2: Convert to fraction form
    715,382.60/987,282.91 = 409,554.91/x
  3. Step 3: Cross multiply
    715,382.60x = 987,282.91 × 409,554.91
  4. Step 4: Simplify right side
    715,382.60x = 404,346,559,857.49
  5. Step 5: Solve for x
    x = 404,346,559,857.49/715,382.60
  6. Step 6: Final answer
    x = 565,217.22

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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.