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Finding the Fourth Proportional to 512,214.40, 768,436.80 and 157,244.80

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Solution

The fourth proportional to 512,214.40, 768,436.80 and 157,244.80 is: 235,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,214.40 : 768,436.80 = 157,244.80 : x
  2. Step 2: Convert to fraction form
    512,214.40/768,436.80 = 157,244.80/x
  3. Step 3: Cross multiply
    512,214.40x = 768,436.80 × 157,244.80
  4. Step 4: Simplify right side
    512,214.40x = 120,832,690,928.64
  5. Step 5: Solve for x
    x = 120,832,690,928.64/512,214.40
  6. Step 6: Final answer
    x = 235,902.57

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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.