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Finding the Fourth Proportional to 263,327.78, 395,050.95 and 83,424.05

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Solution

The fourth proportional to 263,327.78, 395,050.95 and 83,424.05 is: 125,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,327.78 : 395,050.95 = 83,424.05 : x
  2. Step 2: Convert to fraction form
    263,327.78/395,050.95 = 83,424.05/x
  3. Step 3: Cross multiply
    263,327.78x = 395,050.95 × 83,424.05
  4. Step 4: Simplify right side
    263,327.78x = 32,956,750,205.35
  5. Step 5: Solve for x
    x = 32,956,750,205.35/263,327.78
  6. Step 6: Final answer
    x = 125,154.86

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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.