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Finding the Fourth Proportional to 276,468.49, 414,758.09 and 86,976.55

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Solution

The fourth proportional to 276,468.49, 414,758.09 and 86,976.55 is: 130,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,468.49 : 414,758.09 = 86,976.55 : x
  2. Step 2: Convert to fraction form
    276,468.49/414,758.09 = 86,976.55/x
  3. Step 3: Cross multiply
    276,468.49x = 414,758.09 × 86,976.55
  4. Step 4: Simplify right side
    276,468.49x = 36,074,227,752.79
  5. Step 5: Solve for x
    x = 36,074,227,752.79/276,468.49
  6. Step 6: Final answer
    x = 130,482.24

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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.