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Finding the Fourth Proportional to 715,761.38, 987,729.63 and 409,827.62

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Solution

The fourth proportional to 715,761.38, 987,729.63 and 409,827.62 is: 565,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,761.38 : 987,729.63 = 409,827.62 : x
  2. Step 2: Convert to fraction form
    715,761.38/987,729.63 = 409,827.62/x
  3. Step 3: Cross multiply
    715,761.38x = 987,729.63 × 409,827.62
  4. Step 4: Simplify right side
    715,761.38x = 404,798,878,527.73
  5. Step 5: Solve for x
    x = 404,798,878,527.73/715,761.38
  6. Step 6: Final answer
    x = 565,550.05

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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.