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Finding the Fourth Proportional to 458,155.42, 686,531.64 and 191,770.90

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Solution

The fourth proportional to 458,155.42, 686,531.64 and 191,770.90 is: 287,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,155.42 : 686,531.64 = 191,770.90 : x
  2. Step 2: Convert to fraction form
    458,155.42/686,531.64 = 191,770.90/x
  3. Step 3: Cross multiply
    458,155.42x = 686,531.64 × 191,770.90
  4. Step 4: Simplify right side
    458,155.42x = 131,656,790,481.28
  5. Step 5: Solve for x
    x = 131,656,790,481.28/458,155.42
  6. Step 6: Final answer
    x = 287,362.73

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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.