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Finding the Fourth Proportional to 490,901.20, 736,353.60 and 149,347.96

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Solution

The fourth proportional to 490,901.20, 736,353.60 and 149,347.96 is: 224,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,901.20 : 736,353.60 = 149,347.96 : x
  2. Step 2: Convert to fraction form
    490,901.20/736,353.60 = 149,347.96/x
  3. Step 3: Cross multiply
    490,901.20x = 736,353.60 × 149,347.96
  4. Step 4: Simplify right side
    490,901.20x = 109,972,907,998.66
  5. Step 5: Solve for x
    x = 109,972,907,998.66/490,901.20
  6. Step 6: Final answer
    x = 224,022.49

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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.