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Finding the Fourth Proportional to 276,341.84, 414,521.64 and 76,664.24

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Solution

The fourth proportional to 276,341.84, 414,521.64 and 76,664.24 is: 114,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,341.84 : 414,521.64 = 76,664.24 : x
  2. Step 2: Convert to fraction form
    276,341.84/414,521.64 = 76,664.24/x
  3. Step 3: Cross multiply
    276,341.84x = 414,521.64 × 76,664.24
  4. Step 4: Simplify right side
    276,341.84x = 31,778,986,494.15
  5. Step 5: Solve for x
    x = 31,778,986,494.15/276,341.84
  6. Step 6: Final answer
    x = 114,998.82

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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.