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Finding the Fourth Proportional to 242,308.02, 363,358.35 and 84,489.78

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Solution

The fourth proportional to 242,308.02, 363,358.35 and 84,489.78 is: 126,698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,308.02 : 363,358.35 = 84,489.78 : x
  2. Step 2: Convert to fraction form
    242,308.02/363,358.35 = 84,489.78/x
  3. Step 3: Cross multiply
    242,308.02x = 363,358.35 × 84,489.78
  4. Step 4: Simplify right side
    242,308.02x = 30,700,067,052.66
  5. Step 5: Solve for x
    x = 30,700,067,052.66/242,308.02
  6. Step 6: Final answer
    x = 126,698.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.