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Finding the Fourth Proportional to 715,717.32, 987,691.95 and 409,798.41

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Solution

The fourth proportional to 715,717.32, 987,691.95 and 409,798.41 is: 565,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,717.32 : 987,691.95 = 409,798.41 : x
  2. Step 2: Convert to fraction form
    715,717.32/987,691.95 = 409,798.41/x
  3. Step 3: Cross multiply
    715,717.32x = 987,691.95 × 409,798.41
  4. Step 4: Simplify right side
    715,717.32x = 404,754,590,679.80
  5. Step 5: Solve for x
    x = 404,754,590,679.80/715,717.32
  6. Step 6: Final answer
    x = 565,522.98

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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.