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Finding the Fourth Proportional to 276,719.80, 415,079.82 and 213,632.02

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Solution

The fourth proportional to 276,719.80, 415,079.82 and 213,632.02 is: 320,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,719.80 : 415,079.82 = 213,632.02 : x
  2. Step 2: Convert to fraction form
    276,719.80/415,079.82 = 213,632.02/x
  3. Step 3: Cross multiply
    276,719.80x = 415,079.82 × 213,632.02
  4. Step 4: Simplify right side
    276,719.80x = 88,674,340,407.84
  5. Step 5: Solve for x
    x = 88,674,340,407.84/276,719.80
  6. Step 6: Final answer
    x = 320,448.12

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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.