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Finding the Fourth Proportional to 274,045.16, 411,067.20 and 103,298.78

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Solution

The fourth proportional to 274,045.16, 411,067.20 and 103,298.78 is: 154,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,045.16 : 411,067.20 = 103,298.78 : x
  2. Step 2: Convert to fraction form
    274,045.16/411,067.20 = 103,298.78/x
  3. Step 3: Cross multiply
    274,045.16x = 411,067.20 × 103,298.78
  4. Step 4: Simplify right side
    274,045.16x = 42,462,740,258.02
  5. Step 5: Solve for x
    x = 42,462,740,258.02/274,045.16
  6. Step 6: Final answer
    x = 154,947.97

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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.