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Finding the Fourth Proportional to 278,914.40, 417,680.40 and 223,618.40

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Solution

The fourth proportional to 278,914.40, 417,680.40 and 223,618.40 is: 334,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,914.40 : 417,680.40 = 223,618.40 : x
  2. Step 2: Convert to fraction form
    278,914.40/417,680.40 = 223,618.40/x
  3. Step 3: Cross multiply
    278,914.40x = 417,680.40 × 223,618.40
  4. Step 4: Simplify right side
    278,914.40x = 93,401,022,759.36
  5. Step 5: Solve for x
    x = 93,401,022,759.36/278,914.40
  6. Step 6: Final answer
    x = 334,873.43

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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.