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Finding the Fourth Proportional to 646,311.14, 969,909.51 and 225,586.88

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Solution

The fourth proportional to 646,311.14, 969,909.51 and 225,586.88 is: 338,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,311.14 : 969,909.51 = 225,586.88 : x
  2. Step 2: Convert to fraction form
    646,311.14/969,909.51 = 225,586.88/x
  3. Step 3: Cross multiply
    646,311.14x = 969,909.51 × 225,586.88
  4. Step 4: Simplify right side
    646,311.14x = 218,798,860,243.23
  5. Step 5: Solve for x
    x = 218,798,860,243.23/646,311.14
  6. Step 6: Final answer
    x = 338,534.87

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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.