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Finding the Fourth Proportional to 512,423.64, 768,734.28 and 157,374.72

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Solution

The fourth proportional to 512,423.64, 768,734.28 and 157,374.72 is: 236,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,423.64 : 768,734.28 = 157,374.72 : x
  2. Step 2: Convert to fraction form
    512,423.64/768,734.28 = 157,374.72/x
  3. Step 3: Cross multiply
    512,423.64x = 768,734.28 × 157,374.72
  4. Step 4: Simplify right side
    512,423.64x = 120,979,342,069.40
  5. Step 5: Solve for x
    x = 120,979,342,069.40/512,423.64
  6. Step 6: Final answer
    x = 236,092.43

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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.