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Finding the Fourth Proportional to 287,394.67, 396,534.70 and 189,267.78

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Solution

The fourth proportional to 287,394.67, 396,534.70 and 189,267.78 is: 261,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,394.67 : 396,534.70 = 189,267.78 : x
  2. Step 2: Convert to fraction form
    287,394.67/396,534.70 = 189,267.78/x
  3. Step 3: Cross multiply
    287,394.67x = 396,534.70 × 189,267.78
  4. Step 4: Simplify right side
    287,394.67x = 75,051,242,361.97
  5. Step 5: Solve for x
    x = 75,051,242,361.97/287,394.67
  6. Step 6: Final answer
    x = 261,143.47

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1.5x scale

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.