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Finding the Fourth Proportional to 644,585.82, 889,544.25 and 354,195.02

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Solution

The fourth proportional to 644,585.82, 889,544.25 and 354,195.02 is: 488,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,585.82 : 889,544.25 = 354,195.02 : x
  2. Step 2: Convert to fraction form
    644,585.82/889,544.25 = 354,195.02/x
  3. Step 3: Cross multiply
    644,585.82x = 889,544.25 × 354,195.02
  4. Step 4: Simplify right side
    644,585.82x = 315,072,138,971.91
  5. Step 5: Solve for x
    x = 315,072,138,971.91/644,585.82
  6. Step 6: Final answer
    x = 488,797.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.