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Finding the Fourth Proportional to 408,871.83, 564,238.80 and 227,580.87

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Solution

The fourth proportional to 408,871.83, 564,238.80 and 227,580.87 is: 314,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,871.83 : 564,238.80 = 227,580.87 : x
  2. Step 2: Convert to fraction form
    408,871.83/564,238.80 = 227,580.87/x
  3. Step 3: Cross multiply
    408,871.83x = 564,238.80 × 227,580.87
  4. Step 4: Simplify right side
    408,871.83x = 128,409,956,991.76
  5. Step 5: Solve for x
    x = 128,409,956,991.76/408,871.83
  6. Step 6: Final answer
    x = 314,059.19

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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.