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Finding the Fourth Proportional to 285,477.64, 393,930.48 and 158,129.44

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Solution

The fourth proportional to 285,477.64, 393,930.48 and 158,129.44 is: 218,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,477.64 : 393,930.48 = 158,129.44 : x
  2. Step 2: Convert to fraction form
    285,477.64/393,930.48 = 158,129.44/x
  3. Step 3: Cross multiply
    285,477.64x = 393,930.48 × 158,129.44
  4. Step 4: Simplify right side
    285,477.64x = 62,292,006,201.33
  5. Step 5: Solve for x
    x = 62,292,006,201.33/285,477.64
  6. Step 6: Final answer
    x = 218,202.75

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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.