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Finding the Fourth Proportional to 408,820.32, 564,190.62 and 227,543.86

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Solution

The fourth proportional to 408,820.32, 564,190.62 and 227,543.86 is: 314,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,820.32 : 564,190.62 = 227,543.86 : x
  2. Step 2: Convert to fraction form
    408,820.32/564,190.62 = 227,543.86/x
  3. Step 3: Cross multiply
    408,820.32x = 564,190.62 × 227,543.86
  4. Step 4: Simplify right side
    408,820.32x = 128,378,111,450.59
  5. Step 5: Solve for x
    x = 128,378,111,450.59/408,820.32
  6. Step 6: Final answer
    x = 314,020.87

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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.