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Finding the Fourth Proportional to 305,209.20, 457,489.80 and 147,334.80

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Solution

The fourth proportional to 305,209.20, 457,489.80 and 147,334.80 is: 220,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,209.20 : 457,489.80 = 147,334.80 : x
  2. Step 2: Convert to fraction form
    305,209.20/457,489.80 = 147,334.80/x
  3. Step 3: Cross multiply
    305,209.20x = 457,489.80 × 147,334.80
  4. Step 4: Simplify right side
    305,209.20x = 67,404,168,185.04
  5. Step 5: Solve for x
    x = 67,404,168,185.04/305,209.20
  6. Step 6: Final answer
    x = 220,845.79

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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.