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Finding the Fourth Proportional to 274,330.82, 411,454.62 and 74,666.76

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Solution

The fourth proportional to 274,330.82, 411,454.62 and 74,666.76 is: 111,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,330.82 : 411,454.62 = 74,666.76 : x
  2. Step 2: Convert to fraction form
    274,330.82/411,454.62 = 74,666.76/x
  3. Step 3: Cross multiply
    274,330.82x = 411,454.62 × 74,666.76
  4. Step 4: Simplify right side
    274,330.82x = 30,721,983,362.43
  5. Step 5: Solve for x
    x = 30,721,983,362.43/274,330.82
  6. Step 6: Final answer
    x = 111,988.81

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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.