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Finding the Fourth Proportional to 284,081.80, 426,122.70 and 279,416.20

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Solution

The fourth proportional to 284,081.80, 426,122.70 and 279,416.20 is: 419,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,081.80 : 426,122.70 = 279,416.20 : x
  2. Step 2: Convert to fraction form
    284,081.80/426,122.70 = 279,416.20/x
  3. Step 3: Cross multiply
    284,081.80x = 426,122.70 × 279,416.20
  4. Step 4: Simplify right side
    284,081.80x = 119,065,585,567.74
  5. Step 5: Solve for x
    x = 119,065,585,567.74/284,081.80
  6. Step 6: Final answer
    x = 419,124.30

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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.