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Finding the Fourth Proportional to 255,474.60, 352,565.88 and 142,297.44

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Solution

The fourth proportional to 255,474.60, 352,565.88 and 142,297.44 is: 196,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,474.60 : 352,565.88 = 142,297.44 : x
  2. Step 2: Convert to fraction form
    255,474.60/352,565.88 = 142,297.44/x
  3. Step 3: Cross multiply
    255,474.60x = 352,565.88 × 142,297.44
  4. Step 4: Simplify right side
    255,474.60x = 50,169,222,155.35
  5. Step 5: Solve for x
    x = 50,169,222,155.35/255,474.60
  6. Step 6: Final answer
    x = 196,376.56

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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.