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Finding the Fourth Proportional to 392,865.84, 542,158.65 and 223,101.18

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Solution

The fourth proportional to 392,865.84, 542,158.65 and 223,101.18 is: 307,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,865.84 : 542,158.65 = 223,101.18 : x
  2. Step 2: Convert to fraction form
    392,865.84/542,158.65 = 223,101.18/x
  3. Step 3: Cross multiply
    392,865.84x = 542,158.65 × 223,101.18
  4. Step 4: Simplify right side
    392,865.84x = 120,956,234,562.21
  5. Step 5: Solve for x
    x = 120,956,234,562.21/392,865.84
  6. Step 6: Final answer
    x = 307,881.78

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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.