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Finding the Fourth Proportional to 276,468.63, 414,768.75 and 89,480.13

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Solution

The fourth proportional to 276,468.63, 414,768.75 and 89,480.13 is: 134,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,468.63 : 414,768.75 = 89,480.13 : x
  2. Step 2: Convert to fraction form
    276,468.63/414,768.75 = 89,480.13/x
  3. Step 3: Cross multiply
    276,468.63x = 414,768.75 × 89,480.13
  4. Step 4: Simplify right side
    276,468.63x = 37,113,561,669.94
  5. Step 5: Solve for x
    x = 37,113,561,669.94/276,468.63
  6. Step 6: Final answer
    x = 134,241.49

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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.