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Finding the Fourth Proportional to 278,309.81, 383,830.40 and 213,934.86

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Solution

The fourth proportional to 278,309.81, 383,830.40 and 213,934.86 is: 295,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,309.81 : 383,830.40 = 213,934.86 : x
  2. Step 2: Convert to fraction form
    278,309.81/383,830.40 = 213,934.86/x
  3. Step 3: Cross multiply
    278,309.81x = 383,830.40 × 213,934.86
  4. Step 4: Simplify right side
    278,309.81x = 82,114,703,422.58
  5. Step 5: Solve for x
    x = 82,114,703,422.58/278,309.81
  6. Step 6: Final answer
    x = 295,047.82

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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.