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Finding the Fourth Proportional to 222,411.90, 306,929.04 and 120,438.56

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Solution

The fourth proportional to 222,411.90, 306,929.04 and 120,438.56 is: 166,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,411.90 : 306,929.04 = 120,438.56 : x
  2. Step 2: Convert to fraction form
    222,411.90/306,929.04 = 120,438.56/x
  3. Step 3: Cross multiply
    222,411.90x = 306,929.04 × 120,438.56
  4. Step 4: Simplify right side
    222,411.90x = 36,966,091,599.78
  5. Step 5: Solve for x
    x = 36,966,091,599.78/222,411.90
  6. Step 6: Final answer
    x = 166,205.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.