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Finding the Fourth Proportional to 287,369, 431,251.55 and 100,380.50

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Solution

The fourth proportional to 287,369, 431,251.55 and 100,380.50 is: 150,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,369 : 431,251.55 = 100,380.50 : x
  2. Step 2: Convert to fraction form
    287,369/431,251.55 = 100,380.50/x
  3. Step 3: Cross multiply
    287,369x = 431,251.55 × 100,380.50
  4. Step 4: Simplify right side
    287,369x = 43,289,245,712.87
  5. Step 5: Solve for x
    x = 43,289,245,712.87/287,369
  6. Step 6: Final answer
    x = 150,639.93

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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.