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Finding the Fourth Proportional to 288,691.08, 432,921.72 and 111,099.36

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Solution

The fourth proportional to 288,691.08, 432,921.72 and 111,099.36 is: 166,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,691.08 : 432,921.72 = 111,099.36 : x
  2. Step 2: Convert to fraction form
    288,691.08/432,921.72 = 111,099.36/x
  3. Step 3: Cross multiply
    288,691.08x = 432,921.72 × 111,099.36
  4. Step 4: Simplify right side
    288,691.08x = 48,097,326,022.10
  5. Step 5: Solve for x
    x = 48,097,326,022.10/288,691.08
  6. Step 6: Final answer
    x = 166,604.82

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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.