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Finding the Fourth Proportional to 268,545.20, 402,472.20 and 205,905.20

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Solution

The fourth proportional to 268,545.20, 402,472.20 and 205,905.20 is: 308,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,545.20 : 402,472.20 = 205,905.20 : x
  2. Step 2: Convert to fraction form
    268,545.20/402,472.20 = 205,905.20/x
  3. Step 3: Cross multiply
    268,545.20x = 402,472.20 × 205,905.20
  4. Step 4: Simplify right side
    268,545.20x = 82,871,118,835.44
  5. Step 5: Solve for x
    x = 82,871,118,835.44/268,545.20
  6. Step 6: Final answer
    x = 308,592.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.