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Finding the Fourth Proportional to 275,518.22, 412,882.70 and 156,944.74

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Solution

The fourth proportional to 275,518.22, 412,882.70 and 156,944.74 is: 235,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,518.22 : 412,882.70 = 156,944.74 : x
  2. Step 2: Convert to fraction form
    275,518.22/412,882.70 = 156,944.74/x
  3. Step 3: Cross multiply
    275,518.22x = 412,882.70 × 156,944.74
  4. Step 4: Simplify right side
    275,518.22x = 64,799,768,002.00
  5. Step 5: Solve for x
    x = 64,799,768,002.00/275,518.22
  6. Step 6: Final answer
    x = 235,192.32

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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.