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Finding the Fourth Proportional to 284,057.52, 425,680.14 and 208,585.56

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Solution

The fourth proportional to 284,057.52, 425,680.14 and 208,585.56 is: 312,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,057.52 : 425,680.14 = 208,585.56 : x
  2. Step 2: Convert to fraction form
    284,057.52/425,680.14 = 208,585.56/x
  3. Step 3: Cross multiply
    284,057.52x = 425,680.14 × 208,585.56
  4. Step 4: Simplify right side
    284,057.52x = 88,790,730,382.78
  5. Step 5: Solve for x
    x = 88,790,730,382.78/284,057.52
  6. Step 6: Final answer
    x = 312,580.11

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1.5x scale

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.