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Finding the Fourth Proportional to 287,441.70, 431,162.55 and 109,857.30

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Solution

The fourth proportional to 287,441.70, 431,162.55 and 109,857.30 is: 164,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,441.70 : 431,162.55 = 109,857.30 : x
  2. Step 2: Convert to fraction form
    287,441.70/431,162.55 = 109,857.30/x
  3. Step 3: Cross multiply
    287,441.70x = 431,162.55 × 109,857.30
  4. Step 4: Simplify right side
    287,441.70x = 47,366,353,604.12
  5. Step 5: Solve for x
    x = 47,366,353,604.12/287,441.70
  6. Step 6: Final answer
    x = 164,785.95

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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.