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Finding the Fourth Proportional to 255,487.64, 352,583.82 and 142,310.44

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Solution

The fourth proportional to 255,487.64, 352,583.82 and 142,310.44 is: 196,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,487.64 : 352,583.82 = 142,310.44 : x
  2. Step 2: Convert to fraction form
    255,487.64/352,583.82 = 142,310.44/x
  3. Step 3: Cross multiply
    255,487.64x = 352,583.82 × 142,310.44
  4. Step 4: Simplify right side
    255,487.64x = 50,176,358,561.08
  5. Step 5: Solve for x
    x = 50,176,358,561.08/255,487.64
  6. Step 6: Final answer
    x = 196,394.47

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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.