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Finding the Fourth Proportional to 398,809.20, 599,135.40 and 274,393.20

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Solution

The fourth proportional to 398,809.20, 599,135.40 and 274,393.20 is: 412,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,809.20 : 599,135.40 = 274,393.20 : x
  2. Step 2: Convert to fraction form
    398,809.20/599,135.40 = 274,393.20/x
  3. Step 3: Cross multiply
    398,809.20x = 599,135.40 × 274,393.20
  4. Step 4: Simplify right side
    398,809.20x = 164,398,679,639.28
  5. Step 5: Solve for x
    x = 164,398,679,639.28/398,809.20
  6. Step 6: Final answer
    x = 412,223.89

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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.