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Finding the Fourth Proportional to 254,709.39, 381,482.28 and 121,683.90

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Solution

The fourth proportional to 254,709.39, 381,482.28 and 121,683.90 is: 182,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,709.39 : 381,482.28 = 121,683.90 : x
  2. Step 2: Convert to fraction form
    254,709.39/381,482.28 = 121,683.90/x
  3. Step 3: Cross multiply
    254,709.39x = 381,482.28 × 121,683.90
  4. Step 4: Simplify right side
    254,709.39x = 46,420,251,611.29
  5. Step 5: Solve for x
    x = 46,420,251,611.29/254,709.39
  6. Step 6: Final answer
    x = 182,247.90

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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.