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Finding the Fourth Proportional to 284,711.60, 426,145.80 and 262,593.20

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Solution

The fourth proportional to 284,711.60, 426,145.80 and 262,593.20 is: 393,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,711.60 : 426,145.80 = 262,593.20 : x
  2. Step 2: Convert to fraction form
    284,711.60/426,145.80 = 262,593.20/x
  3. Step 3: Cross multiply
    284,711.60x = 426,145.80 × 262,593.20
  4. Step 4: Simplify right side
    284,711.60x = 111,902,989,288.56
  5. Step 5: Solve for x
    x = 111,902,989,288.56/284,711.60
  6. Step 6: Final answer
    x = 393,039.80

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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.