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Finding the Fourth Proportional to 273,753.40, 409,938.90 and 218,457.40

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Solution

The fourth proportional to 273,753.40, 409,938.90 and 218,457.40 is: 327,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,753.40 : 409,938.90 = 218,457.40 : x
  2. Step 2: Convert to fraction form
    273,753.40/409,938.90 = 218,457.40/x
  3. Step 3: Cross multiply
    273,753.40x = 409,938.90 × 218,457.40
  4. Step 4: Simplify right side
    273,753.40x = 89,554,186,252.86
  5. Step 5: Solve for x
    x = 89,554,186,252.86/273,753.40
  6. Step 6: Final answer
    x = 327,134.52

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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.