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Finding the Fourth Proportional to 278,684.64, 385,339.68 and 274,181.76

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Solution

The fourth proportional to 278,684.64, 385,339.68 and 274,181.76 is: 379,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,684.64 : 385,339.68 = 274,181.76 : x
  2. Step 2: Convert to fraction form
    278,684.64/385,339.68 = 274,181.76/x
  3. Step 3: Cross multiply
    278,684.64x = 385,339.68 × 274,181.76
  4. Step 4: Simplify right side
    278,684.64x = 105,653,111,660.24
  5. Step 5: Solve for x
    x = 105,653,111,660.24/278,684.64
  6. Step 6: Final answer
    x = 379,113.51

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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.