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Finding the Fourth Proportional to 274,507.32, 411,794.20 and 96,978

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Solution

The fourth proportional to 274,507.32, 411,794.20 and 96,978 is: 145,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,507.32 : 411,794.20 = 96,978 : x
  2. Step 2: Convert to fraction form
    274,507.32/411,794.20 = 96,978/x
  3. Step 3: Cross multiply
    274,507.32x = 411,794.20 × 96,978
  4. Step 4: Simplify right side
    274,507.32x = 39,934,977,927.60
  5. Step 5: Solve for x
    x = 39,934,977,927.60/274,507.32
  6. Step 6: Final answer
    x = 145,478.74

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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.