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Finding the Fourth Proportional to 399,401.40, 599,107.40 and 133,162.01

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Solution

The fourth proportional to 399,401.40, 599,107.40 and 133,162.01 is: 199,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,401.40 : 599,107.40 = 133,162.01 : x
  2. Step 2: Convert to fraction form
    399,401.40/599,107.40 = 133,162.01/x
  3. Step 3: Cross multiply
    399,401.40x = 599,107.40 × 133,162.01
  4. Step 4: Simplify right side
    399,401.40x = 79,778,341,928.53
  5. Step 5: Solve for x
    x = 79,778,341,928.53/399,401.40
  6. Step 6: Final answer
    x = 199,744.77

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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.