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Finding the Fourth Proportional to 284,163.66, 425,839.14 and 208,691.64

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Solution

The fourth proportional to 284,163.66, 425,839.14 and 208,691.64 is: 312,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,163.66 : 425,839.14 = 208,691.64 : x
  2. Step 2: Convert to fraction form
    284,163.66/425,839.14 = 208,691.64/x
  3. Step 3: Cross multiply
    284,163.66x = 425,839.14 × 208,691.64
  4. Step 4: Simplify right side
    284,163.66x = 88,869,068,502.79
  5. Step 5: Solve for x
    x = 88,869,068,502.79/284,163.66
  6. Step 6: Final answer
    x = 312,739.03

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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.