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Finding the Fourth Proportional to 305,542.80, 458,314.20 and 288,046.80

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Solution

The fourth proportional to 305,542.80, 458,314.20 and 288,046.80 is: 432,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,542.80 : 458,314.20 = 288,046.80 : x
  2. Step 2: Convert to fraction form
    305,542.80/458,314.20 = 288,046.80/x
  3. Step 3: Cross multiply
    305,542.80x = 458,314.20 × 288,046.80
  4. Step 4: Simplify right side
    305,542.80x = 132,015,938,704.56
  5. Step 5: Solve for x
    x = 132,015,938,704.56/305,542.80
  6. Step 6: Final answer
    x = 432,070.20

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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.