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Finding the Fourth Proportional to 463,320.40, 639,442.40 and 259,448.96

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Solution

The fourth proportional to 463,320.40, 639,442.40 and 259,448.96 is: 358,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,320.40 : 639,442.40 = 259,448.96 : x
  2. Step 2: Convert to fraction form
    463,320.40/639,442.40 = 259,448.96/x
  3. Step 3: Cross multiply
    463,320.40x = 639,442.40 × 259,448.96
  4. Step 4: Simplify right side
    463,320.40x = 165,902,665,659.90
  5. Step 5: Solve for x
    x = 165,902,665,659.90/463,320.40
  6. Step 6: Final answer
    x = 358,073.30

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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.