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Finding the Fourth Proportional to 276,976, 415,533.12 and 79,984

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Solution

The fourth proportional to 276,976, 415,533.12 and 79,984 is: 119,995.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,976 : 415,533.12 = 79,984 : x
  2. Step 2: Convert to fraction form
    276,976/415,533.12 = 79,984/x
  3. Step 3: Cross multiply
    276,976x = 415,533.12 × 79,984
  4. Step 4: Simplify right side
    276,976x = 33,236,001,070.08
  5. Step 5: Solve for x
    x = 33,236,001,070.08/276,976
  6. Step 6: Final answer
    x = 119,995.96

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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.