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Finding the Fourth Proportional to 409,091.32, 564,062.96 and 280,092.34

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Solution

The fourth proportional to 409,091.32, 564,062.96 and 280,092.34 is: 386,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,091.32 : 564,062.96 = 280,092.34 : x
  2. Step 2: Convert to fraction form
    409,091.32/564,062.96 = 280,092.34/x
  3. Step 3: Cross multiply
    409,091.32x = 564,062.96 × 280,092.34
  4. Step 4: Simplify right side
    409,091.32x = 157,989,714,373.73
  5. Step 5: Solve for x
    x = 157,989,714,373.73/409,091.32
  6. Step 6: Final answer
    x = 386,196.69

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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.