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Finding the Fourth Proportional to 263,356.38, 363,430.80 and 142,497.90

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Solution

The fourth proportional to 263,356.38, 363,430.80 and 142,497.90 is: 196,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,356.38 : 363,430.80 = 142,497.90 : x
  2. Step 2: Convert to fraction form
    263,356.38/363,430.80 = 142,497.90/x
  3. Step 3: Cross multiply
    263,356.38x = 363,430.80 × 142,497.90
  4. Step 4: Simplify right side
    263,356.38x = 51,788,125,795.32
  5. Step 5: Solve for x
    x = 51,788,125,795.32/263,356.38
  6. Step 6: Final answer
    x = 196,646.56

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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.