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Finding the Fourth Proportional to 287,360.80, 396,606.16 and 166,577.64

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Solution

The fourth proportional to 287,360.80, 396,606.16 and 166,577.64 is: 229,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,360.80 : 396,606.16 = 166,577.64 : x
  2. Step 2: Convert to fraction form
    287,360.80/396,606.16 = 166,577.64/x
  3. Step 3: Cross multiply
    287,360.80x = 396,606.16 × 166,577.64
  4. Step 4: Simplify right side
    287,360.80x = 66,065,718,142.26
  5. Step 5: Solve for x
    x = 66,065,718,142.26/287,360.80
  6. Step 6: Final answer
    x = 229,905.12

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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.