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Finding the Fourth Proportional to 398,133.68, 597,196.82 and 161,420.12

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Solution

The fourth proportional to 398,133.68, 597,196.82 and 161,420.12 is: 242,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,133.68 : 597,196.82 = 161,420.12 : x
  2. Step 2: Convert to fraction form
    398,133.68/597,196.82 = 161,420.12/x
  3. Step 3: Cross multiply
    398,133.68x = 597,196.82 × 161,420.12
  4. Step 4: Simplify right side
    398,133.68x = 96,399,582,348.02
  5. Step 5: Solve for x
    x = 96,399,582,348.02/398,133.68
  6. Step 6: Final answer
    x = 242,128.68

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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.