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Finding the Fourth Proportional to 263,699.30, 363,905.47 and 142,841.58

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Solution

The fourth proportional to 263,699.30, 363,905.47 and 142,841.58 is: 197,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,699.30 : 363,905.47 = 142,841.58 : x
  2. Step 2: Convert to fraction form
    263,699.30/363,905.47 = 142,841.58/x
  3. Step 3: Cross multiply
    263,699.30x = 363,905.47 × 142,841.58
  4. Step 4: Simplify right side
    263,699.30x = 51,980,832,305.44
  5. Step 5: Solve for x
    x = 51,980,832,305.44/263,699.30
  6. Step 6: Final answer
    x = 197,121.62

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1.5x scale

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.