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Finding the Fourth Proportional to 381,381.48, 572,096.52 and 128,687.40

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Solution

The fourth proportional to 381,381.48, 572,096.52 and 128,687.40 is: 193,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,381.48 : 572,096.52 = 128,687.40 : x
  2. Step 2: Convert to fraction form
    381,381.48/572,096.52 = 128,687.40/x
  3. Step 3: Cross multiply
    381,381.48x = 572,096.52 × 128,687.40
  4. Step 4: Simplify right side
    381,381.48x = 73,621,613,707.85
  5. Step 5: Solve for x
    x = 73,621,613,707.85/381,381.48
  6. Step 6: Final answer
    x = 193,039.30

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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.