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Finding the Fourth Proportional to 284,568.80, 426,853.20 and 268,239.20

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Solution

The fourth proportional to 284,568.80, 426,853.20 and 268,239.20 is: 402,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,568.80 : 426,853.20 = 268,239.20 : x
  2. Step 2: Convert to fraction form
    284,568.80/426,853.20 = 268,239.20/x
  3. Step 3: Cross multiply
    284,568.80x = 426,853.20 × 268,239.20
  4. Step 4: Simplify right side
    284,568.80x = 114,498,760,885.44
  5. Step 5: Solve for x
    x = 114,498,760,885.44/284,568.80
  6. Step 6: Final answer
    x = 402,358.80

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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.