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Finding the Fourth Proportional to 498,531.08, 687,867.78 and 317,177

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Solution

The fourth proportional to 498,531.08, 687,867.78 and 317,177 is: 437,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,531.08 : 687,867.78 = 317,177 : x
  2. Step 2: Convert to fraction form
    498,531.08/687,867.78 = 317,177/x
  3. Step 3: Cross multiply
    498,531.08x = 687,867.78 × 317,177
  4. Step 4: Simplify right side
    498,531.08x = 218,175,838,857.06
  5. Step 5: Solve for x
    x = 218,175,838,857.06/498,531.08
  6. Step 6: Final answer
    x = 437,637.39

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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.