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Finding the Fourth Proportional to 287,293.74, 396,405 and 166,427.82

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Solution

The fourth proportional to 287,293.74, 396,405 and 166,427.82 is: 229,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,293.74 : 396,405 = 166,427.82 : x
  2. Step 2: Convert to fraction form
    287,293.74/396,405 = 166,427.82/x
  3. Step 3: Cross multiply
    287,293.74x = 396,405 × 166,427.82
  4. Step 4: Simplify right side
    287,293.74x = 65,972,819,987.10
  5. Step 5: Solve for x
    x = 65,972,819,987.10/287,293.74
  6. Step 6: Final answer
    x = 229,635.42

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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.