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Finding the Fourth Proportional to 288,658.29, 433,057.86 and 203,435.31

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Solution

The fourth proportional to 288,658.29, 433,057.86 and 203,435.31 is: 305,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,658.29 : 433,057.86 = 203,435.31 : x
  2. Step 2: Convert to fraction form
    288,658.29/433,057.86 = 203,435.31/x
  3. Step 3: Cross multiply
    288,658.29x = 433,057.86 × 203,435.31
  4. Step 4: Simplify right side
    288,658.29x = 88,099,261,621.00
  5. Step 5: Solve for x
    x = 88,099,261,621.00/288,658.29
  6. Step 6: Final answer
    x = 305,202.60

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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.