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Finding the Fourth Proportional to 274,534.74, 411,751.38 and 84,959.76

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Solution

The fourth proportional to 274,534.74, 411,751.38 and 84,959.76 is: 127,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,534.74 : 411,751.38 = 84,959.76 : x
  2. Step 2: Convert to fraction form
    274,534.74/411,751.38 = 84,959.76/x
  3. Step 3: Cross multiply
    274,534.74x = 411,751.38 × 84,959.76
  4. Step 4: Simplify right side
    274,534.74x = 34,982,298,424.47
  5. Step 5: Solve for x
    x = 34,982,298,424.47/274,534.74
  6. Step 6: Final answer
    x = 127,423.94

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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.