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Finding the Fourth Proportional to 305,245.92, 457,350.48 and 147,548.64

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Solution

The fourth proportional to 305,245.92, 457,350.48 and 147,548.64 is: 221,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,245.92 : 457,350.48 = 147,548.64 : x
  2. Step 2: Convert to fraction form
    305,245.92/457,350.48 = 147,548.64/x
  3. Step 3: Cross multiply
    305,245.92x = 457,350.48 × 147,548.64
  4. Step 4: Simplify right side
    305,245.92x = 67,481,441,327.35
  5. Step 5: Solve for x
    x = 67,481,441,327.35/305,245.92
  6. Step 6: Final answer
    x = 221,072.38

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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.