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Finding the Fourth Proportional to 309,912, 464,945.76 and 88,296

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Solution

The fourth proportional to 309,912, 464,945.76 and 88,296 is: 132,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,912 : 464,945.76 = 88,296 : x
  2. Step 2: Convert to fraction form
    309,912/464,945.76 = 88,296/x
  3. Step 3: Cross multiply
    309,912x = 464,945.76 × 88,296
  4. Step 4: Simplify right side
    309,912x = 41,052,850,824.96
  5. Step 5: Solve for x
    x = 41,052,850,824.96/309,912
  6. Step 6: Final answer
    x = 132,466.15

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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.