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Finding the Fourth Proportional to 339,636, 508,753.80 and 198,968.16

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Solution

The fourth proportional to 339,636, 508,753.80 and 198,968.16 is: 298,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,636 : 508,753.80 = 198,968.16 : x
  2. Step 2: Convert to fraction form
    339,636/508,753.80 = 198,968.16/x
  3. Step 3: Cross multiply
    339,636x = 508,753.80 × 198,968.16
  4. Step 4: Simplify right side
    339,636x = 101,225,807,479.01
  5. Step 5: Solve for x
    x = 101,225,807,479.01/339,636
  6. Step 6: Final answer
    x = 298,042.04

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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.