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Finding the Fourth Proportional to 490,283.52, 734,744.88 and 223,391.76

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Solution

The fourth proportional to 490,283.52, 734,744.88 and 223,391.76 is: 334,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,283.52 : 734,744.88 = 223,391.76 : x
  2. Step 2: Convert to fraction form
    490,283.52/734,744.88 = 223,391.76/x
  3. Step 3: Cross multiply
    490,283.52x = 734,744.88 × 223,391.76
  4. Step 4: Simplify right side
    490,283.52x = 164,135,951,894.19
  5. Step 5: Solve for x
    x = 164,135,951,894.19/490,283.52
  6. Step 6: Final answer
    x = 334,777.62

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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.