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Finding the Fourth Proportional to 288,753.69, 432,839.67 and 120,367.17

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Solution

The fourth proportional to 288,753.69, 432,839.67 and 120,367.17 is: 180,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,753.69 : 432,839.67 = 120,367.17 : x
  2. Step 2: Convert to fraction form
    288,753.69/432,839.67 = 120,367.17/x
  3. Step 3: Cross multiply
    288,753.69x = 432,839.67 × 120,367.17
  4. Step 4: Simplify right side
    288,753.69x = 52,099,686,141.63
  5. Step 5: Solve for x
    x = 52,099,686,141.63/288,753.69
  6. Step 6: Final answer
    x = 180,429.51

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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.