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Finding the Fourth Proportional to 284,098.72, 425,742 and 208,626.88

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Solution

The fourth proportional to 284,098.72, 425,742 and 208,626.88 is: 312,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,098.72 : 425,742 = 208,626.88 : x
  2. Step 2: Convert to fraction form
    284,098.72/425,742 = 208,626.88/x
  3. Step 3: Cross multiply
    284,098.72x = 425,742 × 208,626.88
  4. Step 4: Simplify right side
    284,098.72x = 88,821,225,144.96
  5. Step 5: Solve for x
    x = 88,821,225,144.96/284,098.72
  6. Step 6: Final answer
    x = 312,642.12

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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.