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Finding the Fourth Proportional to 462,844.32, 638,542.56 and 290,661

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Solution

The fourth proportional to 462,844.32, 638,542.56 and 290,661 is: 400,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,844.32 : 638,542.56 = 290,661 : x
  2. Step 2: Convert to fraction form
    462,844.32/638,542.56 = 290,661/x
  3. Step 3: Cross multiply
    462,844.32x = 638,542.56 × 290,661
  4. Step 4: Simplify right side
    462,844.32x = 185,599,419,032.16
  5. Step 5: Solve for x
    x = 185,599,419,032.16/462,844.32
  6. Step 6: Final answer
    x = 400,997.51

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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.