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Finding the Fourth Proportional to 312,873.62, 469,032.09 and 113,149.60

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Solution

The fourth proportional to 312,873.62, 469,032.09 and 113,149.60 is: 169,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,873.62 : 469,032.09 = 113,149.60 : x
  2. Step 2: Convert to fraction form
    312,873.62/469,032.09 = 113,149.60/x
  3. Step 3: Cross multiply
    312,873.62x = 469,032.09 × 113,149.60
  4. Step 4: Simplify right side
    312,873.62x = 53,070,791,773.77
  5. Step 5: Solve for x
    x = 53,070,791,773.77/312,873.62
  6. Step 6: Final answer
    x = 169,623.74

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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.