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Finding the Fourth Proportional to 381,472.16, 572,208.24 and 203,439.80

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Solution

The fourth proportional to 381,472.16, 572,208.24 and 203,439.80 is: 305,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,472.16 : 572,208.24 = 203,439.80 : x
  2. Step 2: Convert to fraction form
    381,472.16/572,208.24 = 203,439.80/x
  3. Step 3: Cross multiply
    381,472.16x = 572,208.24 × 203,439.80
  4. Step 4: Simplify right side
    381,472.16x = 116,409,929,903.95
  5. Step 5: Solve for x
    x = 116,409,929,903.95/381,472.16
  6. Step 6: Final answer
    x = 305,159.70

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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.