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Finding the Fourth Proportional to 518,726, 715,841.88 and 280,262

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Solution

The fourth proportional to 518,726, 715,841.88 and 280,262 is: 386,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,726 : 715,841.88 = 280,262 : x
  2. Step 2: Convert to fraction form
    518,726/715,841.88 = 280,262/x
  3. Step 3: Cross multiply
    518,726x = 715,841.88 × 280,262
  4. Step 4: Simplify right side
    518,726x = 200,623,276,972.56
  5. Step 5: Solve for x
    x = 200,623,276,972.56/518,726
  6. Step 6: Final answer
    x = 386,761.56

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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.