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Finding the Fourth Proportional to 312,482.70, 468,731.34 and 112,819.32

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Solution

The fourth proportional to 312,482.70, 468,731.34 and 112,819.32 is: 169,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,482.70 : 468,731.34 = 112,819.32 : x
  2. Step 2: Convert to fraction form
    312,482.70/468,731.34 = 112,819.32/x
  3. Step 3: Cross multiply
    312,482.70x = 468,731.34 × 112,819.32
  4. Step 4: Simplify right side
    312,482.70x = 52,881,951,041.49
  5. Step 5: Solve for x
    x = 52,881,951,041.49/312,482.70
  6. Step 6: Final answer
    x = 169,231.61

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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.