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Finding the Fourth Proportional to 288,839.68, 433,472.34 and 137,037.32

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Solution

The fourth proportional to 288,839.68, 433,472.34 and 137,037.32 is: 205,656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,839.68 : 433,472.34 = 137,037.32 : x
  2. Step 2: Convert to fraction form
    288,839.68/433,472.34 = 137,037.32/x
  3. Step 3: Cross multiply
    288,839.68x = 433,472.34 × 137,037.32
  4. Step 4: Simplify right side
    288,839.68x = 59,401,887,767.73
  5. Step 5: Solve for x
    x = 59,401,887,767.73/288,839.68
  6. Step 6: Final answer
    x = 205,656.95

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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.