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Finding the Fourth Proportional to 274,622.60, 411,933.90 and 156,657.80

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Solution

The fourth proportional to 274,622.60, 411,933.90 and 156,657.80 is: 234,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,622.60 : 411,933.90 = 156,657.80 : x
  2. Step 2: Convert to fraction form
    274,622.60/411,933.90 = 156,657.80/x
  3. Step 3: Cross multiply
    274,622.60x = 411,933.90 × 156,657.80
  4. Step 4: Simplify right side
    274,622.60x = 64,532,658,519.42
  5. Step 5: Solve for x
    x = 64,532,658,519.42/274,622.60
  6. Step 6: Final answer
    x = 234,986.70

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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.