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Finding the Fourth Proportional to 234,382.45, 351,582.36 and 120,499.78

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Solution

The fourth proportional to 234,382.45, 351,582.36 and 120,499.78 is: 180,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,382.45 : 351,582.36 = 120,499.78 : x
  2. Step 2: Convert to fraction form
    234,382.45/351,582.36 = 120,499.78/x
  3. Step 3: Cross multiply
    234,382.45x = 351,582.36 × 120,499.78
  4. Step 4: Simplify right side
    234,382.45x = 42,365,597,031.88
  5. Step 5: Solve for x
    x = 42,365,597,031.88/234,382.45
  6. Step 6: Final answer
    x = 180,754.14

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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.