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Finding the Fourth Proportional to 312,452, 468,757.92 and 90,836

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Solution

The fourth proportional to 312,452, 468,757.92 and 90,836 is: 136,277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,452 : 468,757.92 = 90,836 : x
  2. Step 2: Convert to fraction form
    312,452/468,757.92 = 90,836/x
  3. Step 3: Cross multiply
    312,452x = 468,757.92 × 90,836
  4. Step 4: Simplify right side
    312,452x = 42,580,094,421.12
  5. Step 5: Solve for x
    x = 42,580,094,421.12/312,452
  6. Step 6: Final answer
    x = 136,277.23

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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.