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Finding the Fourth Proportional to 284,169.42, 423,924.89 and 276,446.88

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Solution

The fourth proportional to 284,169.42, 423,924.89 and 276,446.88 is: 412,404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,169.42 : 423,924.89 = 276,446.88 : x
  2. Step 2: Convert to fraction form
    284,169.42/423,924.89 = 276,446.88/x
  3. Step 3: Cross multiply
    284,169.42x = 423,924.89 × 276,446.88
  4. Step 4: Simplify right side
    284,169.42x = 117,192,711,812.61
  5. Step 5: Solve for x
    x = 117,192,711,812.61/284,169.42
  6. Step 6: Final answer
    x = 412,404.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.