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Finding the Fourth Proportional to 285,442.96, 393,906.36 and 158,115.88

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Solution

The fourth proportional to 285,442.96, 393,906.36 and 158,115.88 is: 218,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,442.96 : 393,906.36 = 158,115.88 : x
  2. Step 2: Convert to fraction form
    285,442.96/393,906.36 = 158,115.88/x
  3. Step 3: Cross multiply
    285,442.96x = 393,906.36 × 158,115.88
  4. Step 4: Simplify right side
    285,442.96x = 62,282,850,749.00
  5. Step 5: Solve for x
    x = 62,282,850,749.00/285,442.96
  6. Step 6: Final answer
    x = 218,197.19

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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.