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Finding the Fourth Proportional to 456,306.28, 684,407.12 and 119,379.44

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Solution

The fourth proportional to 456,306.28, 684,407.12 and 119,379.44 is: 179,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,306.28 : 684,407.12 = 119,379.44 : x
  2. Step 2: Convert to fraction form
    456,306.28/684,407.12 = 119,379.44/x
  3. Step 3: Cross multiply
    456,306.28x = 684,407.12 × 119,379.44
  4. Step 4: Simplify right side
    456,306.28x = 81,704,138,717.61
  5. Step 5: Solve for x
    x = 81,704,138,717.61/456,306.28
  6. Step 6: Final answer
    x = 179,055.48

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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.