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Finding the Fourth Proportional to 381,806.20, 572,709.30 and 224,342.20

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Solution

The fourth proportional to 381,806.20, 572,709.30 and 224,342.20 is: 336,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,806.20 : 572,709.30 = 224,342.20 : x
  2. Step 2: Convert to fraction form
    381,806.20/572,709.30 = 224,342.20/x
  3. Step 3: Cross multiply
    381,806.20x = 572,709.30 × 224,342.20
  4. Step 4: Simplify right side
    381,806.20x = 128,482,864,322.46
  5. Step 5: Solve for x
    x = 128,482,864,322.46/381,806.20
  6. Step 6: Final answer
    x = 336,513.30

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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.