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Finding the Fourth Proportional to 398,523.90, 597,946.05 and 161,885.10

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Solution

The fourth proportional to 398,523.90, 597,946.05 and 161,885.10 is: 242,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,523.90 : 597,946.05 = 161,885.10 : x
  2. Step 2: Convert to fraction form
    398,523.90/597,946.05 = 161,885.10/x
  3. Step 3: Cross multiply
    398,523.90x = 597,946.05 × 161,885.10
  4. Step 4: Simplify right side
    398,523.90x = 96,798,556,098.86
  5. Step 5: Solve for x
    x = 96,798,556,098.86/398,523.90
  6. Step 6: Final answer
    x = 242,892.73

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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.