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Finding the Fourth Proportional to 456,211.32, 684,414.78 and 136,388.22

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Solution

The fourth proportional to 456,211.32, 684,414.78 and 136,388.22 is: 204,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,211.32 : 684,414.78 = 136,388.22 : x
  2. Step 2: Convert to fraction form
    456,211.32/684,414.78 = 136,388.22/x
  3. Step 3: Cross multiply
    456,211.32x = 684,414.78 × 136,388.22
  4. Step 4: Simplify right side
    456,211.32x = 93,346,113,585.89
  5. Step 5: Solve for x
    x = 93,346,113,585.89/456,211.32
  6. Step 6: Final answer
    x = 204,611.57

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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.