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Finding the Fourth Proportional to 312,878.56, 469,039.44 and 113,154.55

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Solution

The fourth proportional to 312,878.56, 469,039.44 and 113,154.55 is: 169,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,878.56 : 469,039.44 = 113,154.55 : x
  2. Step 2: Convert to fraction form
    312,878.56/469,039.44 = 113,154.55/x
  3. Step 3: Cross multiply
    312,878.56x = 469,039.44 × 113,154.55
  4. Step 4: Simplify right side
    312,878.56x = 53,073,946,765.45
  5. Step 5: Solve for x
    x = 53,073,946,765.45/312,878.56
  6. Step 6: Final answer
    x = 169,631.14

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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.