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Finding the Fourth Proportional to 262,909.20, 393,845.40 and 157,414.80

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Solution

The fourth proportional to 262,909.20, 393,845.40 and 157,414.80 is: 235,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,909.20 : 393,845.40 = 157,414.80 : x
  2. Step 2: Convert to fraction form
    262,909.20/393,845.40 = 157,414.80/x
  3. Step 3: Cross multiply
    262,909.20x = 393,845.40 × 157,414.80
  4. Step 4: Simplify right side
    262,909.20x = 61,997,094,871.92
  5. Step 5: Solve for x
    x = 61,997,094,871.92/262,909.20
  6. Step 6: Final answer
    x = 235,811.81

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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.