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Finding the Fourth Proportional to 222,742.20, 334,113.30 and 220,409.40

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Solution

The fourth proportional to 222,742.20, 334,113.30 and 220,409.40 is: 330,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,742.20 : 334,113.30 = 220,409.40 : x
  2. Step 2: Convert to fraction form
    222,742.20/334,113.30 = 220,409.40/x
  3. Step 3: Cross multiply
    222,742.20x = 334,113.30 × 220,409.40
  4. Step 4: Simplify right side
    222,742.20x = 73,641,711,985.02
  5. Step 5: Solve for x
    x = 73,641,711,985.02/222,742.20
  6. Step 6: Final answer
    x = 330,614.10

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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.