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Finding the Fourth Proportional to 490,023.20, 735,121.20 and 174,663.20

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Solution

The fourth proportional to 490,023.20, 735,121.20 and 174,663.20 is: 262,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,023.20 : 735,121.20 = 174,663.20 : x
  2. Step 2: Convert to fraction form
    490,023.20/735,121.20 = 174,663.20/x
  3. Step 3: Cross multiply
    490,023.20x = 735,121.20 × 174,663.20
  4. Step 4: Simplify right side
    490,023.20x = 128,398,621,179.84
  5. Step 5: Solve for x
    x = 128,398,621,179.84/490,023.20
  6. Step 6: Final answer
    x = 262,025.60

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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.