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Finding the Fourth Proportional to 665,406.50, 998,395.78 and 216,265.10

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Solution

The fourth proportional to 665,406.50, 998,395.78 and 216,265.10 is: 324,490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,406.50 : 998,395.78 = 216,265.10 : x
  2. Step 2: Convert to fraction form
    665,406.50/998,395.78 = 216,265.10/x
  3. Step 3: Cross multiply
    665,406.50x = 998,395.78 × 216,265.10
  4. Step 4: Simplify right side
    665,406.50x = 215,918,163,201.28
  5. Step 5: Solve for x
    x = 215,918,163,201.28/665,406.50
  6. Step 6: Final answer
    x = 324,490.61

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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.