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Finding the Fourth Proportional to 627,120, 865,425.60 and 344,496

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Solution

The fourth proportional to 627,120, 865,425.60 and 344,496 is: 475,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,120 : 865,425.60 = 344,496 : x
  2. Step 2: Convert to fraction form
    627,120/865,425.60 = 344,496/x
  3. Step 3: Cross multiply
    627,120x = 865,425.60 × 344,496
  4. Step 4: Simplify right side
    627,120x = 298,135,657,497.60
  5. Step 5: Solve for x
    x = 298,135,657,497.60/627,120
  6. Step 6: Final answer
    x = 475,404.48

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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.