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Finding the Fourth Proportional to 310,716.46, 428,770.42 and 172,891.72

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Solution

The fourth proportional to 310,716.46, 428,770.42 and 172,891.72 is: 238,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,716.46 : 428,770.42 = 172,891.72 : x
  2. Step 2: Convert to fraction form
    310,716.46/428,770.42 = 172,891.72/x
  3. Step 3: Cross multiply
    310,716.46x = 428,770.42 × 172,891.72
  4. Step 4: Simplify right side
    310,716.46x = 74,130,855,398.92
  5. Step 5: Solve for x
    x = 74,130,855,398.92/310,716.46
  6. Step 6: Final answer
    x = 238,580.39

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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.