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Finding the Fourth Proportional to 310,677.15, 428,736.96 and 172,858.08

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Solution

The fourth proportional to 310,677.15, 428,736.96 and 172,858.08 is: 238,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,677.15 : 428,736.96 = 172,858.08 : x
  2. Step 2: Convert to fraction form
    310,677.15/428,736.96 = 172,858.08/x
  3. Step 3: Cross multiply
    310,677.15x = 428,736.96 × 172,858.08
  4. Step 4: Simplify right side
    310,677.15x = 74,110,647,730.64
  5. Step 5: Solve for x
    x = 74,110,647,730.64/310,677.15
  6. Step 6: Final answer
    x = 238,545.54

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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.