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Finding the Fourth Proportional to 276,718.80, 415,078.32 and 213,631.02

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Solution

The fourth proportional to 276,718.80, 415,078.32 and 213,631.02 is: 320,446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,718.80 : 415,078.32 = 213,631.02 : x
  2. Step 2: Convert to fraction form
    276,718.80/415,078.32 = 213,631.02/x
  3. Step 3: Cross multiply
    276,718.80x = 415,078.32 × 213,631.02
  4. Step 4: Simplify right side
    276,718.80x = 88,673,604,881.49
  5. Step 5: Solve for x
    x = 88,673,604,881.49/276,718.80
  6. Step 6: Final answer
    x = 320,446.62

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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.