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Finding the Fourth Proportional to 498,392.47, 687,775.45 and 283,532.07

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Solution

The fourth proportional to 498,392.47, 687,775.45 and 283,532.07 is: 391,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,392.47 : 687,775.45 = 283,532.07 : x
  2. Step 2: Convert to fraction form
    498,392.47/687,775.45 = 283,532.07/x
  3. Step 3: Cross multiply
    498,392.47x = 687,775.45 × 283,532.07
  4. Step 4: Simplify right side
    498,392.47x = 195,006,397,033.68
  5. Step 5: Solve for x
    x = 195,006,397,033.68/498,392.47
  6. Step 6: Final answer
    x = 391,270.75

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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.