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Finding the Fourth Proportional to 278,873.85, 384,814.62 and 157,989.25

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Solution

The fourth proportional to 278,873.85, 384,814.62 and 157,989.25 is: 218,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,873.85 : 384,814.62 = 157,989.25 : x
  2. Step 2: Convert to fraction form
    278,873.85/384,814.62 = 157,989.25/x
  3. Step 3: Cross multiply
    278,873.85x = 384,814.62 × 157,989.25
  4. Step 4: Simplify right side
    278,873.85x = 60,796,574,128.20
  5. Step 5: Solve for x
    x = 60,796,574,128.20/278,873.85
  6. Step 6: Final answer
    x = 218,007.44

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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.