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Finding the Fourth Proportional to 312,691, 431,870 and 211,914.04

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Solution

The fourth proportional to 312,691, 431,870 and 211,914.04 is: 292,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,691 : 431,870 = 211,914.04 : x
  2. Step 2: Convert to fraction form
    312,691/431,870 = 211,914.04/x
  3. Step 3: Cross multiply
    312,691x = 431,870 × 211,914.04
  4. Step 4: Simplify right side
    312,691x = 91,519,316,454.80
  5. Step 5: Solve for x
    x = 91,519,316,454.80/312,691
  6. Step 6: Final answer
    x = 292,682.92

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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.