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Finding the Fourth Proportional to 312,153.12, 468,229.68 and 146,057.76

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Solution

The fourth proportional to 312,153.12, 468,229.68 and 146,057.76 is: 219,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,153.12 : 468,229.68 = 146,057.76 : x
  2. Step 2: Convert to fraction form
    312,153.12/468,229.68 = 146,057.76/x
  3. Step 3: Cross multiply
    312,153.12x = 468,229.68 × 146,057.76
  4. Step 4: Simplify right side
    312,153.12x = 68,388,578,226.32
  5. Step 5: Solve for x
    x = 68,388,578,226.32/312,153.12
  6. Step 6: Final answer
    x = 219,086.64

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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.