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Finding the Fourth Proportional to 399,405.09, 599,337.81 and 221,897.10

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Solution

The fourth proportional to 399,405.09, 599,337.81 and 221,897.10 is: 332,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,405.09 : 599,337.81 = 221,897.10 : x
  2. Step 2: Convert to fraction form
    399,405.09/599,337.81 = 221,897.10/x
  3. Step 3: Cross multiply
    399,405.09x = 599,337.81 × 221,897.10
  4. Step 4: Simplify right side
    399,405.09x = 132,991,321,959.35
  5. Step 5: Solve for x
    x = 132,991,321,959.35/399,405.09
  6. Step 6: Final answer
    x = 332,973.53

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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.