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Finding the Fourth Proportional to 345,812.20, 477,224.46 and 194,909.20

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Solution

The fourth proportional to 345,812.20, 477,224.46 and 194,909.20 is: 268,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,812.20 : 477,224.46 = 194,909.20 : x
  2. Step 2: Convert to fraction form
    345,812.20/477,224.46 = 194,909.20/x
  3. Step 3: Cross multiply
    345,812.20x = 477,224.46 × 194,909.20
  4. Step 4: Simplify right side
    345,812.20x = 93,015,437,719.03
  5. Step 5: Solve for x
    x = 93,015,437,719.03/345,812.20
  6. Step 6: Final answer
    x = 268,976.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.