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Finding the Fourth Proportional to 255,466.82, 352,539.62 and 142,287.14

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Solution

The fourth proportional to 255,466.82, 352,539.62 and 142,287.14 is: 196,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,466.82 : 352,539.62 = 142,287.14 : x
  2. Step 2: Convert to fraction form
    255,466.82/352,539.62 = 142,287.14/x
  3. Step 3: Cross multiply
    255,466.82x = 352,539.62 × 142,287.14
  4. Step 4: Simplify right side
    255,466.82x = 50,161,854,266.49
  5. Step 5: Solve for x
    x = 50,161,854,266.49/255,466.82
  6. Step 6: Final answer
    x = 196,353.70

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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.