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Finding the Fourth Proportional to 274,630.13, 411,945.20 and 74,955.84

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Solution

The fourth proportional to 274,630.13, 411,945.20 and 74,955.84 is: 112,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,630.13 : 411,945.20 = 74,955.84 : x
  2. Step 2: Convert to fraction form
    274,630.13/411,945.20 = 74,955.84/x
  3. Step 3: Cross multiply
    274,630.13x = 411,945.20 × 74,955.84
  4. Step 4: Simplify right side
    274,630.13x = 30,877,697,203.83
  5. Step 5: Solve for x
    x = 30,877,697,203.83/274,630.13
  6. Step 6: Final answer
    x = 112,433.76

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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.