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Finding the Fourth Proportional to 275,952, 380,814.12 and 156,720

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Solution

The fourth proportional to 275,952, 380,814.12 and 156,720 is: 216,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,952 : 380,814.12 = 156,720 : x
  2. Step 2: Convert to fraction form
    275,952/380,814.12 = 156,720/x
  3. Step 3: Cross multiply
    275,952x = 380,814.12 × 156,720
  4. Step 4: Simplify right side
    275,952x = 59,681,188,886.40
  5. Step 5: Solve for x
    x = 59,681,188,886.40/275,952
  6. Step 6: Final answer
    x = 216,273.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.