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Finding the Fourth Proportional to 275,439.36, 413,174.40 and 78,432

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Solution

The fourth proportional to 275,439.36, 413,174.40 and 78,432 is: 117,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,439.36 : 413,174.40 = 78,432 : x
  2. Step 2: Convert to fraction form
    275,439.36/413,174.40 = 78,432/x
  3. Step 3: Cross multiply
    275,439.36x = 413,174.40 × 78,432
  4. Step 4: Simplify right side
    275,439.36x = 32,406,094,540.80
  5. Step 5: Solve for x
    x = 32,406,094,540.80/275,439.36
  6. Step 6: Final answer
    x = 117,652.37

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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.