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Finding the Fourth Proportional to 287,393.67, 396,533.32 and 189,266.78

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Solution

The fourth proportional to 287,393.67, 396,533.32 and 189,266.78 is: 261,142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,393.67 : 396,533.32 = 189,266.78 : x
  2. Step 2: Convert to fraction form
    287,393.67/396,533.32 = 189,266.78/x
  3. Step 3: Cross multiply
    287,393.67x = 396,533.32 × 189,266.78
  4. Step 4: Simplify right side
    287,393.67x = 75,050,583,991.40
  5. Step 5: Solve for x
    x = 75,050,583,991.40/287,393.67
  6. Step 6: Final answer
    x = 261,142.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.