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Finding the Fourth Proportional to 312,930.76, 469,423.76 and 88,293.16

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Solution

The fourth proportional to 312,930.76, 469,423.76 and 88,293.16 is: 132,447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,930.76 : 469,423.76 = 88,293.16 : x
  2. Step 2: Convert to fraction form
    312,930.76/469,423.76 = 88,293.16/x
  3. Step 3: Cross multiply
    312,930.76x = 469,423.76 × 88,293.16
  4. Step 4: Simplify right side
    312,930.76x = 41,446,907,149.48
  5. Step 5: Solve for x
    x = 41,446,907,149.48/312,930.76
  6. Step 6: Final answer
    x = 132,447.53

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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.