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Finding the Fourth Proportional to 276,705.32, 415,016.66 and 77,004.88

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Solution

The fourth proportional to 276,705.32, 415,016.66 and 77,004.88 is: 115,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,705.32 : 415,016.66 = 77,004.88 : x
  2. Step 2: Convert to fraction form
    276,705.32/415,016.66 = 77,004.88/x
  3. Step 3: Cross multiply
    276,705.32x = 415,016.66 × 77,004.88
  4. Step 4: Simplify right side
    276,705.32x = 31,958,307,256.27
  5. Step 5: Solve for x
    x = 31,958,307,256.27/276,705.32
  6. Step 6: Final answer
    x = 115,495.82

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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.