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Finding the Fourth Proportional to 287,400.96, 430,932.24 and 109,920.96

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Solution

The fourth proportional to 287,400.96, 430,932.24 and 109,920.96 is: 164,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,400.96 : 430,932.24 = 109,920.96 : x
  2. Step 2: Convert to fraction form
    287,400.96/430,932.24 = 109,920.96/x
  3. Step 3: Cross multiply
    287,400.96x = 430,932.24 × 109,920.96
  4. Step 4: Simplify right side
    287,400.96x = 47,368,485,515.75
  5. Step 5: Solve for x
    x = 47,368,485,515.75/287,400.96
  6. Step 6: Final answer
    x = 164,816.73

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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.