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Finding the Fourth Proportional to 287,459.40, 396,694.08 and 166,671.12

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Solution

The fourth proportional to 287,459.40, 396,694.08 and 166,671.12 is: 230,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,459.40 : 396,694.08 = 166,671.12 : x
  2. Step 2: Convert to fraction form
    287,459.40/396,694.08 = 166,671.12/x
  3. Step 3: Cross multiply
    287,459.40x = 396,694.08 × 166,671.12
  4. Step 4: Simplify right side
    287,459.40x = 66,117,446,610.97
  5. Step 5: Solve for x
    x = 66,117,446,610.97/287,459.40
  6. Step 6: Final answer
    x = 230,006.21

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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.