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Finding the Fourth Proportional to 408,398.48, 563,507.31 and 238,599.80

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Solution

The fourth proportional to 408,398.48, 563,507.31 and 238,599.80 is: 329,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,398.48 : 563,507.31 = 238,599.80 : x
  2. Step 2: Convert to fraction form
    408,398.48/563,507.31 = 238,599.80/x
  3. Step 3: Cross multiply
    408,398.48x = 563,507.31 × 238,599.80
  4. Step 4: Simplify right side
    408,398.48x = 134,452,728,647.00
  5. Step 5: Solve for x
    x = 134,452,728,647.00/408,398.48
  6. Step 6: Final answer
    x = 329,219.47

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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.