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Finding the Fourth Proportional to 398,418.40, 597,967.80 and 161,930.80

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Solution

The fourth proportional to 398,418.40, 597,967.80 and 161,930.80 is: 243,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,418.40 : 597,967.80 = 161,930.80 : x
  2. Step 2: Convert to fraction form
    398,418.40/597,967.80 = 161,930.80/x
  3. Step 3: Cross multiply
    398,418.40x = 597,967.80 × 161,930.80
  4. Step 4: Simplify right side
    398,418.40x = 96,829,404,228.24
  5. Step 5: Solve for x
    x = 96,829,404,228.24/398,418.40
  6. Step 6: Final answer
    x = 243,034.47

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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.