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Finding the Fourth Proportional to 399,190.70, 598,900.80 and 230,831.66

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Solution

The fourth proportional to 399,190.70, 598,900.80 and 230,831.66 is: 346,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,190.70 : 598,900.80 = 230,831.66 : x
  2. Step 2: Convert to fraction form
    399,190.70/598,900.80 = 230,831.66/x
  3. Step 3: Cross multiply
    399,190.70x = 598,900.80 × 230,831.66
  4. Step 4: Simplify right side
    399,190.70x = 138,245,265,839.33
  5. Step 5: Solve for x
    x = 138,245,265,839.33/399,190.70
  6. Step 6: Final answer
    x = 346,313.84

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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.