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Finding the Fourth Proportional to 287,191.20, 430,873.20 and 154,135.20

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Solution

The fourth proportional to 287,191.20, 430,873.20 and 154,135.20 is: 231,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,191.20 : 430,873.20 = 154,135.20 : x
  2. Step 2: Convert to fraction form
    287,191.20/430,873.20 = 154,135.20/x
  3. Step 3: Cross multiply
    287,191.20x = 430,873.20 × 154,135.20
  4. Step 4: Simplify right side
    287,191.20x = 66,412,726,856.64
  5. Step 5: Solve for x
    x = 66,412,726,856.64/287,191.20
  6. Step 6: Final answer
    x = 231,249.17

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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.