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Finding the Fourth Proportional to 287,213.21, 396,294.19 and 166,347.27

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Solution

The fourth proportional to 287,213.21, 396,294.19 and 166,347.27 is: 229,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,213.21 : 396,294.19 = 166,347.27 : x
  2. Step 2: Convert to fraction form
    287,213.21/396,294.19 = 166,347.27/x
  3. Step 3: Cross multiply
    287,213.21x = 396,294.19 × 166,347.27
  4. Step 4: Simplify right side
    287,213.21x = 65,922,456,207.49
  5. Step 5: Solve for x
    x = 65,922,456,207.49/287,213.21
  6. Step 6: Final answer
    x = 229,524.46

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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.