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Finding the Fourth Proportional to 278,959.91, 385,150.05 and 214,314.01

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Solution

The fourth proportional to 278,959.91, 385,150.05 and 214,314.01 is: 295,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,959.91 : 385,150.05 = 214,314.01 : x
  2. Step 2: Convert to fraction form
    278,959.91/385,150.05 = 214,314.01/x
  3. Step 3: Cross multiply
    278,959.91x = 385,150.05 × 214,314.01
  4. Step 4: Simplify right side
    278,959.91x = 82,543,050,704.33
  5. Step 5: Solve for x
    x = 82,543,050,704.33/278,959.91
  6. Step 6: Final answer
    x = 295,895.75

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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.