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Finding the Fourth Proportional to 305,195.44, 457,829.92 and 147,312.88

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Solution

The fourth proportional to 305,195.44, 457,829.92 and 147,312.88 is: 220,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,195.44 : 457,829.92 = 147,312.88 : x
  2. Step 2: Convert to fraction form
    305,195.44/457,829.92 = 147,312.88/x
  3. Step 3: Cross multiply
    305,195.44x = 457,829.92 × 147,312.88
  4. Step 4: Simplify right side
    305,195.44x = 67,444,244,065.37
  5. Step 5: Solve for x
    x = 67,444,244,065.37/305,195.44
  6. Step 6: Final answer
    x = 220,987.06

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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.