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Finding the Fourth Proportional to 490,273.64, 735,412.38 and 324,024.68

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Solution

The fourth proportional to 490,273.64, 735,412.38 and 324,024.68 is: 486,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,273.64 : 735,412.38 = 324,024.68 : x
  2. Step 2: Convert to fraction form
    490,273.64/735,412.38 = 324,024.68/x
  3. Step 3: Cross multiply
    490,273.64x = 735,412.38 × 324,024.68
  4. Step 4: Simplify right side
    490,273.64x = 238,291,761,097.54
  5. Step 5: Solve for x
    x = 238,291,761,097.54/490,273.64
  6. Step 6: Final answer
    x = 486,038.29

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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.