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Finding the Fourth Proportional to 284,528.70, 426,793.05 and 142,811.10

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Solution

The fourth proportional to 284,528.70, 426,793.05 and 142,811.10 is: 214,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,528.70 : 426,793.05 = 142,811.10 : x
  2. Step 2: Convert to fraction form
    284,528.70/426,793.05 = 142,811.10/x
  3. Step 3: Cross multiply
    284,528.70x = 426,793.05 × 142,811.10
  4. Step 4: Simplify right side
    284,528.70x = 60,950,784,942.86
  5. Step 5: Solve for x
    x = 60,950,784,942.86/284,528.70
  6. Step 6: Final answer
    x = 214,216.65

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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.