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Finding the Fourth Proportional to 280,267.78, 386,822.10 and 175,540.10

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Solution

The fourth proportional to 280,267.78, 386,822.10 and 175,540.10 is: 242,278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,267.78 : 386,822.10 = 175,540.10 : x
  2. Step 2: Convert to fraction form
    280,267.78/386,822.10 = 175,540.10/x
  3. Step 3: Cross multiply
    280,267.78x = 386,822.10 × 175,540.10
  4. Step 4: Simplify right side
    280,267.78x = 67,902,790,116.21
  5. Step 5: Solve for x
    x = 67,902,790,116.21/280,267.78
  6. Step 6: Final answer
    x = 242,278.26

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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.