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Finding the Fourth Proportional to 287,205.75, 396,397.08 and 166,347

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Solution

The fourth proportional to 287,205.75, 396,397.08 and 166,347 is: 229,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,205.75 : 396,397.08 = 166,347 : x
  2. Step 2: Convert to fraction form
    287,205.75/396,397.08 = 166,347/x
  3. Step 3: Cross multiply
    287,205.75x = 396,397.08 × 166,347
  4. Step 4: Simplify right side
    287,205.75x = 65,939,465,066.76
  5. Step 5: Solve for x
    x = 65,939,465,066.76/287,205.75
  6. Step 6: Final answer
    x = 229,589.64

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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.