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Finding the Fourth Proportional to 823,903.40, 1,233,435.90 and 614,469.80

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Solution

The fourth proportional to 823,903.40, 1,233,435.90 and 614,469.80 is: 919,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,903.40 : 1,233,435.90 = 614,469.80 : x
  2. Step 2: Convert to fraction form
    823,903.40/1,233,435.90 = 614,469.80/x
  3. Step 3: Cross multiply
    823,903.40x = 1,233,435.90 × 614,469.80
  4. Step 4: Simplify right side
    823,903.40x = 757,909,110,785.82
  5. Step 5: Solve for x
    x = 757,909,110,785.82/823,903.40
  6. Step 6: Final answer
    x = 919,900.45

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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.