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Finding the Fourth Proportional to 305,377.60, 457,029.60 and 268,052.80

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Solution

The fourth proportional to 305,377.60, 457,029.60 and 268,052.80 is: 401,169.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,377.60 : 457,029.60 = 268,052.80 : x
  2. Step 2: Convert to fraction form
    305,377.60/457,029.60 = 268,052.80/x
  3. Step 3: Cross multiply
    305,377.60x = 457,029.60 × 268,052.80
  4. Step 4: Simplify right side
    305,377.60x = 122,508,063,962.88
  5. Step 5: Solve for x
    x = 122,508,063,962.88/305,377.60
  6. Step 6: Final answer
    x = 401,169.12

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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.