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Finding the Fourth Proportional to 276,805.50, 415,384.86 and 99,308.58

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Solution

The fourth proportional to 276,805.50, 415,384.86 and 99,308.58 is: 149,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,805.50 : 415,384.86 = 99,308.58 : x
  2. Step 2: Convert to fraction form
    276,805.50/415,384.86 = 99,308.58/x
  3. Step 3: Cross multiply
    276,805.50x = 415,384.86 × 99,308.58
  4. Step 4: Simplify right side
    276,805.50x = 41,251,280,600.10
  5. Step 5: Solve for x
    x = 41,251,280,600.10/276,805.50
  6. Step 6: Final answer
    x = 149,026.23

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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.