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Finding the Fourth Proportional to 256,572.82, 384,520.02 and 185,732.20

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Solution

The fourth proportional to 256,572.82, 384,520.02 and 185,732.20 is: 278,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,572.82 : 384,520.02 = 185,732.20 : x
  2. Step 2: Convert to fraction form
    256,572.82/384,520.02 = 185,732.20/x
  3. Step 3: Cross multiply
    256,572.82x = 384,520.02 × 185,732.20
  4. Step 4: Simplify right side
    256,572.82x = 71,417,749,258.64
  5. Step 5: Solve for x
    x = 71,417,749,258.64/256,572.82
  6. Step 6: Final answer
    x = 278,352.75

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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.