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Finding the Fourth Proportional to 312,891.78, 469,355.84 and 120,767.28

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Solution

The fourth proportional to 312,891.78, 469,355.84 and 120,767.28 is: 181,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,891.78 : 469,355.84 = 120,767.28 : x
  2. Step 2: Convert to fraction form
    312,891.78/469,355.84 = 120,767.28/x
  3. Step 3: Cross multiply
    312,891.78x = 469,355.84 × 120,767.28
  4. Step 4: Simplify right side
    312,891.78x = 56,682,826,143.32
  5. Step 5: Solve for x
    x = 56,682,826,143.32/312,891.78
  6. Step 6: Final answer
    x = 181,157.93

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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.