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Finding the Fourth Proportional to 599,235.40, 898,982.70 and 199,808.20

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Solution

The fourth proportional to 599,235.40, 898,982.70 and 199,808.20 is: 299,755.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,235.40 : 898,982.70 = 199,808.20 : x
  2. Step 2: Convert to fraction form
    599,235.40/898,982.70 = 199,808.20/x
  3. Step 3: Cross multiply
    599,235.40x = 898,982.70 × 199,808.20
  4. Step 4: Simplify right side
    599,235.40x = 179,624,115,118.14
  5. Step 5: Solve for x
    x = 179,624,115,118.14/599,235.40
  6. Step 6: Final answer
    x = 299,755.51

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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.