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Finding the Fourth Proportional to 512,071.20, 768,106.80 and 157,084.65

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Solution

The fourth proportional to 512,071.20, 768,106.80 and 157,084.65 is: 235,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,071.20 : 768,106.80 = 157,084.65 : x
  2. Step 2: Convert to fraction form
    512,071.20/768,106.80 = 157,084.65/x
  3. Step 3: Cross multiply
    512,071.20x = 768,106.80 × 157,084.65
  4. Step 4: Simplify right side
    512,071.20x = 120,657,787,840.62
  5. Step 5: Solve for x
    x = 120,657,787,840.62/512,071.20
  6. Step 6: Final answer
    x = 235,626.98

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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.