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Finding the Fourth Proportional to 288,873.72, 433,198.62 and 99,298.44

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Solution

The fourth proportional to 288,873.72, 433,198.62 and 99,298.44 is: 148,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,873.72 : 433,198.62 = 99,298.44 : x
  2. Step 2: Convert to fraction form
    288,873.72/433,198.62 = 99,298.44/x
  3. Step 3: Cross multiply
    288,873.72x = 433,198.62 × 99,298.44
  4. Step 4: Simplify right side
    288,873.72x = 43,015,947,176.15
  5. Step 5: Solve for x
    x = 43,015,947,176.15/288,873.72
  6. Step 6: Final answer
    x = 148,909.17

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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.