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Finding the Fourth Proportional to 512,081.70, 768,122.55 and 157,095.15

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Solution

The fourth proportional to 512,081.70, 768,122.55 and 157,095.15 is: 235,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,081.70 : 768,122.55 = 157,095.15 : x
  2. Step 2: Convert to fraction form
    512,081.70/768,122.55 = 157,095.15/x
  3. Step 3: Cross multiply
    512,081.70x = 768,122.55 × 157,095.15
  4. Step 4: Simplify right side
    512,081.70x = 120,668,327,210.63
  5. Step 5: Solve for x
    x = 120,668,327,210.63/512,081.70
  6. Step 6: Final answer
    x = 235,642.73

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Similar ratio
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1.5x scale

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.