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Finding the Fourth Proportional to 399,645.50, 599,764.18 and 189,284.10

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Solution

The fourth proportional to 399,645.50, 599,764.18 and 189,284.10 is: 284,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,645.50 : 599,764.18 = 189,284.10 : x
  2. Step 2: Convert to fraction form
    399,645.50/599,764.18 = 189,284.10/x
  3. Step 3: Cross multiply
    399,645.50x = 599,764.18 × 189,284.10
  4. Step 4: Simplify right side
    399,645.50x = 113,525,823,023.54
  5. Step 5: Solve for x
    x = 113,525,823,023.54/399,645.50
  6. Step 6: Final answer
    x = 284,066.31

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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.