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Finding the Fourth Proportional to 384,671.32, 576,948.60 and 135,295

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Solution

The fourth proportional to 384,671.32, 576,948.60 and 135,295 is: 202,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,671.32 : 576,948.60 = 135,295 : x
  2. Step 2: Convert to fraction form
    384,671.32/576,948.60 = 135,295/x
  3. Step 3: Cross multiply
    384,671.32x = 576,948.60 × 135,295
  4. Step 4: Simplify right side
    384,671.32x = 78,058,260,837
  5. Step 5: Solve for x
    x = 78,058,260,837/384,671.32
  6. Step 6: Final answer
    x = 202,921.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.