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Finding the Fourth Proportional to 408,883.56, 564,082.02 and 288,005.64

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Solution

The fourth proportional to 408,883.56, 564,082.02 and 288,005.64 is: 397,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,883.56 : 564,082.02 = 288,005.64 : x
  2. Step 2: Convert to fraction form
    408,883.56/564,082.02 = 288,005.64/x
  3. Step 3: Cross multiply
    408,883.56x = 564,082.02 × 288,005.64
  4. Step 4: Simplify right side
    408,883.56x = 162,458,803,182.59
  5. Step 5: Solve for x
    x = 162,458,803,182.59/408,883.56
  6. Step 6: Final answer
    x = 397,322.90

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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.