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Finding the Fourth Proportional to 715,797.12, 987,693 and 409,825.20

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Solution

The fourth proportional to 715,797.12, 987,693 and 409,825.20 is: 565,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,797.12 : 987,693 = 409,825.20 : x
  2. Step 2: Convert to fraction form
    715,797.12/987,693 = 409,825.20/x
  3. Step 3: Cross multiply
    715,797.12x = 987,693 × 409,825.20
  4. Step 4: Simplify right side
    715,797.12x = 404,781,481,263.60
  5. Step 5: Solve for x
    x = 404,781,481,263.60/715,797.12
  6. Step 6: Final answer
    x = 565,497.50

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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.