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Finding the Fourth Proportional to 409,091.04, 564,549.84 and 239,292

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Solution

The fourth proportional to 409,091.04, 564,549.84 and 239,292 is: 330,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,091.04 : 564,549.84 = 239,292 : x
  2. Step 2: Convert to fraction form
    409,091.04/564,549.84 = 239,292/x
  3. Step 3: Cross multiply
    409,091.04x = 564,549.84 × 239,292
  4. Step 4: Simplify right side
    409,091.04x = 135,092,260,313.28
  5. Step 5: Solve for x
    x = 135,092,260,313.28/409,091.04
  6. Step 6: Final answer
    x = 330,225.42

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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.