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Finding the Fourth Proportional to 458,281.28, 686,608.56 and 191,454.56

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Solution

The fourth proportional to 458,281.28, 686,608.56 and 191,454.56 is: 286,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,281.28 : 686,608.56 = 191,454.56 : x
  2. Step 2: Convert to fraction form
    458,281.28/686,608.56 = 191,454.56/x
  3. Step 3: Cross multiply
    458,281.28x = 686,608.56 × 191,454.56
  4. Step 4: Simplify right side
    458,281.28x = 131,454,339,747.03
  5. Step 5: Solve for x
    x = 131,454,339,747.03/458,281.28
  6. Step 6: Final answer
    x = 286,842.05

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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.