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Finding the Fourth Proportional to 288,639.80, 433,542.90 and 278,725.40

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Solution

The fourth proportional to 288,639.80, 433,542.90 and 278,725.40 is: 418,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,639.80 : 433,542.90 = 278,725.40 : x
  2. Step 2: Convert to fraction form
    288,639.80/433,542.90 = 278,725.40/x
  3. Step 3: Cross multiply
    288,639.80x = 433,542.90 × 278,725.40
  4. Step 4: Simplify right side
    288,639.80x = 120,839,418,219.66
  5. Step 5: Solve for x
    x = 120,839,418,219.66/288,639.80
  6. Step 6: Final answer
    x = 418,651.27

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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.