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Finding the Fourth Proportional to 278,467.74, 384,285.84 and 151,143.42

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Solution

The fourth proportional to 278,467.74, 384,285.84 and 151,143.42 is: 208,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,467.74 : 384,285.84 = 151,143.42 : x
  2. Step 2: Convert to fraction form
    278,467.74/384,285.84 = 151,143.42/x
  3. Step 3: Cross multiply
    278,467.74x = 384,285.84 × 151,143.42
  4. Step 4: Simplify right side
    278,467.74x = 58,082,276,115.17
  5. Step 5: Solve for x
    x = 58,082,276,115.17/278,467.74
  6. Step 6: Final answer
    x = 208,578.11

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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.