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Finding the Fourth Proportional to 497,641, 686,724.19 and 279,843.48

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Solution

The fourth proportional to 497,641, 686,724.19 and 279,843.48 is: 386,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,641 : 686,724.19 = 279,843.48 : x
  2. Step 2: Convert to fraction form
    497,641/686,724.19 = 279,843.48/x
  3. Step 3: Cross multiply
    497,641x = 686,724.19 × 279,843.48
  4. Step 4: Simplify right side
    497,641x = 192,175,287,129.78
  5. Step 5: Solve for x
    x = 192,175,287,129.78/497,641
  6. Step 6: Final answer
    x = 386,172.54

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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.