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Finding the Fourth Proportional to 386,734.50, 580,327.56 and 162,076.32

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Solution

The fourth proportional to 386,734.50, 580,327.56 and 162,076.32 is: 243,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,734.50 : 580,327.56 = 162,076.32 : x
  2. Step 2: Convert to fraction form
    386,734.50/580,327.56 = 162,076.32/x
  3. Step 3: Cross multiply
    386,734.50x = 580,327.56 × 162,076.32
  4. Step 4: Simplify right side
    386,734.50x = 94,057,355,319.38
  5. Step 5: Solve for x
    x = 94,057,355,319.38/386,734.50
  6. Step 6: Final answer
    x = 243,209.11

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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.