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Finding the Fourth Proportional to 381,604.60, 572,406.90 and 224,140.60

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Solution

The fourth proportional to 381,604.60, 572,406.90 and 224,140.60 is: 336,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,604.60 : 572,406.90 = 224,140.60 : x
  2. Step 2: Convert to fraction form
    381,604.60/572,406.90 = 224,140.60/x
  3. Step 3: Cross multiply
    381,604.60x = 572,406.90 × 224,140.60
  4. Step 4: Simplify right side
    381,604.60x = 128,299,626,010.14
  5. Step 5: Solve for x
    x = 128,299,626,010.14/381,604.60
  6. Step 6: Final answer
    x = 336,210.90

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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.