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Finding the Fourth Proportional to 276,923.34, 415,388.32 and 77,231.58

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Solution

The fourth proportional to 276,923.34, 415,388.32 and 77,231.58 is: 115,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,923.34 : 415,388.32 = 77,231.58 : x
  2. Step 2: Convert to fraction form
    276,923.34/415,388.32 = 77,231.58/x
  3. Step 3: Cross multiply
    276,923.34x = 415,388.32 × 77,231.58
  4. Step 4: Simplify right side
    276,923.34x = 32,081,094,516.36
  5. Step 5: Solve for x
    x = 32,081,094,516.36/276,923.34
  6. Step 6: Final answer
    x = 115,848.29

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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.