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Finding the Fourth Proportional to 273,243.20, 409,423.20 and 154,561.60

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Solution

The fourth proportional to 273,243.20, 409,423.20 and 154,561.60 is: 231,592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,243.20 : 409,423.20 = 154,561.60 : x
  2. Step 2: Convert to fraction form
    273,243.20/409,423.20 = 154,561.60/x
  3. Step 3: Cross multiply
    273,243.20x = 409,423.20 × 154,561.60
  4. Step 4: Simplify right side
    273,243.20x = 63,281,104,869.12
  5. Step 5: Solve for x
    x = 63,281,104,869.12/273,243.20
  6. Step 6: Final answer
    x = 231,592.61

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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.