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Finding the Fourth Proportional to 276,804.50, 415,383.36 and 99,307.58

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Solution

The fourth proportional to 276,804.50, 415,383.36 and 99,307.58 is: 149,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,804.50 : 415,383.36 = 99,307.58 : x
  2. Step 2: Convert to fraction form
    276,804.50/415,383.36 = 99,307.58/x
  3. Step 3: Cross multiply
    276,804.50x = 415,383.36 × 99,307.58
  4. Step 4: Simplify right side
    276,804.50x = 41,250,716,253.87
  5. Step 5: Solve for x
    x = 41,250,716,253.87/276,804.50
  6. Step 6: Final answer
    x = 149,024.73

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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.