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Finding the Fourth Proportional to 280,993.05, 421,493.56 and 91,454.42

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Solution

The fourth proportional to 280,993.05, 421,493.56 and 91,454.42 is: 137,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,993.05 : 421,493.56 = 91,454.42 : x
  2. Step 2: Convert to fraction form
    280,993.05/421,493.56 = 91,454.42/x
  3. Step 3: Cross multiply
    280,993.05x = 421,493.56 × 91,454.42
  4. Step 4: Simplify right side
    280,993.05x = 38,547,447,903.56
  5. Step 5: Solve for x
    x = 38,547,447,903.56/280,993.05
  6. Step 6: Final answer
    x = 137,182.92

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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.