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Finding the Fourth Proportional to 287,179.88, 396,345.42 and 164,720.02

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Solution

The fourth proportional to 287,179.88, 396,345.42 and 164,720.02 is: 227,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,179.88 : 396,345.42 = 164,720.02 : x
  2. Step 2: Convert to fraction form
    287,179.88/396,345.42 = 164,720.02/x
  3. Step 3: Cross multiply
    287,179.88x = 396,345.42 × 164,720.02
  4. Step 4: Simplify right side
    287,179.88x = 65,286,025,509.31
  5. Step 5: Solve for x
    x = 65,286,025,509.31/287,179.88
  6. Step 6: Final answer
    x = 227,334.96

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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.