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Finding the Fourth Proportional to 284,086.68, 425,724 and 208,614.84

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Solution

The fourth proportional to 284,086.68, 425,724 and 208,614.84 is: 312,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,086.68 : 425,724 = 208,614.84 : x
  2. Step 2: Convert to fraction form
    284,086.68/425,724 = 208,614.84/x
  3. Step 3: Cross multiply
    284,086.68x = 425,724 × 208,614.84
  4. Step 4: Simplify right side
    284,086.68x = 88,812,344,144.16
  5. Step 5: Solve for x
    x = 88,812,344,144.16/284,086.68
  6. Step 6: Final answer
    x = 312,624.11

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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.