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Finding the Fourth Proportional to 381,830.40, 572,529.60 and 145,180.80

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Solution

The fourth proportional to 381,830.40, 572,529.60 and 145,180.80 is: 217,689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,830.40 : 572,529.60 = 145,180.80 : x
  2. Step 2: Convert to fraction form
    381,830.40/572,529.60 = 145,180.80/x
  3. Step 3: Cross multiply
    381,830.40x = 572,529.60 × 145,180.80
  4. Step 4: Simplify right side
    381,830.40x = 83,120,305,351.68
  5. Step 5: Solve for x
    x = 83,120,305,351.68/381,830.40
  6. Step 6: Final answer
    x = 217,689.07

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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.