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Finding the Fourth Proportional to 263,646.70, 363,832.66 and 142,788.22

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Solution

The fourth proportional to 263,646.70, 363,832.66 and 142,788.22 is: 197,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,646.70 : 363,832.66 = 142,788.22 : x
  2. Step 2: Convert to fraction form
    263,646.70/363,832.66 = 142,788.22/x
  3. Step 3: Cross multiply
    263,646.70x = 363,832.66 × 142,788.22
  4. Step 4: Simplify right side
    263,646.70x = 51,951,017,168.17
  5. Step 5: Solve for x
    x = 51,951,017,168.17/263,646.70
  6. Step 6: Final answer
    x = 197,047.86

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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.