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Finding the Fourth Proportional to 280,178.82, 386,679.78 and 159,338.16

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Solution

The fourth proportional to 280,178.82, 386,679.78 and 159,338.16 is: 219,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,178.82 : 386,679.78 = 159,338.16 : x
  2. Step 2: Convert to fraction form
    280,178.82/386,679.78 = 159,338.16/x
  3. Step 3: Cross multiply
    280,178.82x = 386,679.78 × 159,338.16
  4. Step 4: Simplify right side
    280,178.82x = 61,612,844,654.40
  5. Step 5: Solve for x
    x = 61,612,844,654.40/280,178.82
  6. Step 6: Final answer
    x = 219,905.43

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1.5x scale

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.