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Finding the Fourth Proportional to 458,282.28, 686,610.06 and 191,455.56

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Solution

The fourth proportional to 458,282.28, 686,610.06 and 191,455.56 is: 286,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,282.28 : 686,610.06 = 191,455.56 : x
  2. Step 2: Convert to fraction form
    458,282.28/686,610.06 = 191,455.56/x
  3. Step 3: Cross multiply
    458,282.28x = 686,610.06 × 191,455.56
  4. Step 4: Simplify right side
    458,282.28x = 131,455,313,538.93
  5. Step 5: Solve for x
    x = 131,455,313,538.93/458,282.28
  6. Step 6: Final answer
    x = 286,843.54

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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.