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Finding the Fourth Proportional to 409,757.82, 564,179.02 and 348,383.32

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Solution

The fourth proportional to 409,757.82, 564,179.02 and 348,383.32 is: 479,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,757.82 : 564,179.02 = 348,383.32 : x
  2. Step 2: Convert to fraction form
    409,757.82/564,179.02 = 348,383.32/x
  3. Step 3: Cross multiply
    409,757.82x = 564,179.02 × 348,383.32
  4. Step 4: Simplify right side
    409,757.82x = 196,550,560,061.95
  5. Step 5: Solve for x
    x = 196,550,560,061.95/409,757.82
  6. Step 6: Final answer
    x = 479,674.95

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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.