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Finding the Fourth Proportional to 284,252.72, 426,304.80 and 84,519.36

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Solution

The fourth proportional to 284,252.72, 426,304.80 and 84,519.36 is: 126,756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,252.72 : 426,304.80 = 84,519.36 : x
  2. Step 2: Convert to fraction form
    284,252.72/426,304.80 = 84,519.36/x
  3. Step 3: Cross multiply
    284,252.72x = 426,304.80 × 84,519.36
  4. Step 4: Simplify right side
    284,252.72x = 36,031,008,860.93
  5. Step 5: Solve for x
    x = 36,031,008,860.93/284,252.72
  6. Step 6: Final answer
    x = 126,756.95

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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.