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Finding the Fourth Proportional to 242,285, 363,429.10 and 84,512.84

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Solution

The fourth proportional to 242,285, 363,429.10 and 84,512.84 is: 126,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,285 : 363,429.10 = 84,512.84 : x
  2. Step 2: Convert to fraction form
    242,285/363,429.10 = 84,512.84/x
  3. Step 3: Cross multiply
    242,285x = 363,429.10 × 84,512.84
  4. Step 4: Simplify right side
    242,285x = 30,714,425,379.64
  5. Step 5: Solve for x
    x = 30,714,425,379.64/242,285
  6. Step 6: Final answer
    x = 126,769.82

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1.5x scale

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.