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Finding the Fourth Proportional to 408,683.88, 563,978.32 and 229,835.88

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Solution

The fourth proportional to 408,683.88, 563,978.32 and 229,835.88 is: 317,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,683.88 : 563,978.32 = 229,835.88 : x
  2. Step 2: Convert to fraction form
    408,683.88/563,978.32 = 229,835.88/x
  3. Step 3: Cross multiply
    408,683.88x = 563,978.32 × 229,835.88
  4. Step 4: Simplify right side
    408,683.88x = 129,622,453,478.12
  5. Step 5: Solve for x
    x = 129,622,453,478.12/408,683.88
  6. Step 6: Final answer
    x = 317,170.46

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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.