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Finding the Fourth Proportional to 416,469.36, 625,024.92 and 216,840

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Solution

The fourth proportional to 416,469.36, 625,024.92 and 216,840 is: 325,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,469.36 : 625,024.92 = 216,840 : x
  2. Step 2: Convert to fraction form
    416,469.36/625,024.92 = 216,840/x
  3. Step 3: Cross multiply
    416,469.36x = 625,024.92 × 216,840
  4. Step 4: Simplify right side
    416,469.36x = 135,530,403,652.80
  5. Step 5: Solve for x
    x = 135,530,403,652.80/416,469.36
  6. Step 6: Final answer
    x = 325,427.07

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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.