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Finding the Fourth Proportional to 398,447.40, 597,831.30 and 161,808.60

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Solution

The fourth proportional to 398,447.40, 597,831.30 and 161,808.60 is: 242,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,447.40 : 597,831.30 = 161,808.60 : x
  2. Step 2: Convert to fraction form
    398,447.40/597,831.30 = 161,808.60/x
  3. Step 3: Cross multiply
    398,447.40x = 597,831.30 × 161,808.60
  4. Step 4: Simplify right side
    398,447.40x = 96,734,245,689.18
  5. Step 5: Solve for x
    x = 96,734,245,689.18/398,447.40
  6. Step 6: Final answer
    x = 242,777.96

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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.