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Finding the Fourth Proportional to 303,712.80, 455,569.20 and 137,500.80

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Solution

The fourth proportional to 303,712.80, 455,569.20 and 137,500.80 is: 206,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,712.80 : 455,569.20 = 137,500.80 : x
  2. Step 2: Convert to fraction form
    303,712.80/455,569.20 = 137,500.80/x
  3. Step 3: Cross multiply
    303,712.80x = 455,569.20 × 137,500.80
  4. Step 4: Simplify right side
    303,712.80x = 62,641,129,455.36
  5. Step 5: Solve for x
    x = 62,641,129,455.36/303,712.80
  6. Step 6: Final answer
    x = 206,251.20

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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.