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Finding the Fourth Proportional to 276,966, 415,406.88 and 77,265.36

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Solution

The fourth proportional to 276,966, 415,406.88 and 77,265.36 is: 115,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,966 : 415,406.88 = 77,265.36 : x
  2. Step 2: Convert to fraction form
    276,966/415,406.88 = 77,265.36/x
  3. Step 3: Cross multiply
    276,966x = 415,406.88 × 77,265.36
  4. Step 4: Simplify right side
    276,966x = 32,096,562,129.68
  5. Step 5: Solve for x
    x = 32,096,562,129.68/276,966
  6. Step 6: Final answer
    x = 115,886.29

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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.