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Finding the Fourth Proportional to 262,854.28, 362,612.46 and 172,171

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Solution

The fourth proportional to 262,854.28, 362,612.46 and 172,171 is: 237,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,854.28 : 362,612.46 = 172,171 : x
  2. Step 2: Convert to fraction form
    262,854.28/362,612.46 = 172,171/x
  3. Step 3: Cross multiply
    262,854.28x = 362,612.46 × 172,171
  4. Step 4: Simplify right side
    262,854.28x = 62,431,349,850.66
  5. Step 5: Solve for x
    x = 62,431,349,850.66/262,854.28
  6. Step 6: Final answer
    x = 237,513.16

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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.