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Finding the Fourth Proportional to 409,659.24, 564,846.18 and 280,659.56

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Solution

The fourth proportional to 409,659.24, 564,846.18 and 280,659.56 is: 386,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,659.24 : 564,846.18 = 280,659.56 : x
  2. Step 2: Convert to fraction form
    409,659.24/564,846.18 = 280,659.56/x
  3. Step 3: Cross multiply
    409,659.24x = 564,846.18 × 280,659.56
  4. Step 4: Simplify right side
    409,659.24x = 158,529,480,346.48
  5. Step 5: Solve for x
    x = 158,529,480,346.48/409,659.24
  6. Step 6: Final answer
    x = 386,978.90

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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.