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Finding the Fourth Proportional to 255,564.32, 352,685.76 and 142,394.48

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Solution

The fourth proportional to 255,564.32, 352,685.76 and 142,394.48 is: 196,508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,564.32 : 352,685.76 = 142,394.48 : x
  2. Step 2: Convert to fraction form
    255,564.32/352,685.76 = 142,394.48/x
  3. Step 3: Cross multiply
    255,564.32x = 352,685.76 × 142,394.48
  4. Step 4: Simplify right side
    255,564.32x = 50,220,505,398.60
  5. Step 5: Solve for x
    x = 50,220,505,398.60/255,564.32
  6. Step 6: Final answer
    x = 196,508.28

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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.