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Finding the Fourth Proportional to 399,293.98, 597,986.14 and 230,302

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Solution

The fourth proportional to 399,293.98, 597,986.14 and 230,302 is: 344,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,293.98 : 597,986.14 = 230,302 : x
  2. Step 2: Convert to fraction form
    399,293.98/597,986.14 = 230,302/x
  3. Step 3: Cross multiply
    399,293.98x = 597,986.14 × 230,302
  4. Step 4: Simplify right side
    399,293.98x = 137,717,404,014.28
  5. Step 5: Solve for x
    x = 137,717,404,014.28/399,293.98
  6. Step 6: Final answer
    x = 344,902.28

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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.