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Finding the Fourth Proportional to 400,647.80, 552,872.96 and 219,325

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Solution

The fourth proportional to 400,647.80, 552,872.96 and 219,325 is: 302,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,647.80 : 552,872.96 = 219,325 : x
  2. Step 2: Convert to fraction form
    400,647.80/552,872.96 = 219,325/x
  3. Step 3: Cross multiply
    400,647.80x = 552,872.96 × 219,325
  4. Step 4: Simplify right side
    400,647.80x = 121,258,861,952.00
  5. Step 5: Solve for x
    x = 121,258,861,952.00/400,647.80
  6. Step 6: Final answer
    x = 302,657.00

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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.