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Finding the Fourth Proportional to 274,821.30, 411,313.41 and 156,460.86

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Solution

The fourth proportional to 274,821.30, 411,313.41 and 156,460.86 is: 234,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,821.30 : 411,313.41 = 156,460.86 : x
  2. Step 2: Convert to fraction form
    274,821.30/411,313.41 = 156,460.86/x
  3. Step 3: Cross multiply
    274,821.30x = 411,313.41 × 156,460.86
  4. Step 4: Simplify right side
    274,821.30x = 64,354,449,858.13
  5. Step 5: Solve for x
    x = 64,354,449,858.13/274,821.30
  6. Step 6: Final answer
    x = 234,168.35

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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.