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Finding the Fourth Proportional to 312,195.56, 468,294.54 and 75,537.86

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Solution

The fourth proportional to 312,195.56, 468,294.54 and 75,537.86 is: 113,307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,195.56 : 468,294.54 = 75,537.86 : x
  2. Step 2: Convert to fraction form
    312,195.56/468,294.54 = 75,537.86/x
  3. Step 3: Cross multiply
    312,195.56x = 468,294.54 × 75,537.86
  4. Step 4: Simplify right side
    312,195.56x = 35,373,967,401.28
  5. Step 5: Solve for x
    x = 35,373,967,401.28/312,195.56
  6. Step 6: Final answer
    x = 113,307.08

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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.