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Finding the Fourth Proportional to 511,892.40, 767,831.40 and 231,409.20

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Solution

The fourth proportional to 511,892.40, 767,831.40 and 231,409.20 is: 347,110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,892.40 : 767,831.40 = 231,409.20 : x
  2. Step 2: Convert to fraction form
    511,892.40/767,831.40 = 231,409.20/x
  3. Step 3: Cross multiply
    511,892.40x = 767,831.40 × 231,409.20
  4. Step 4: Simplify right side
    511,892.40x = 177,683,250,008.88
  5. Step 5: Solve for x
    x = 177,683,250,008.88/511,892.40
  6. Step 6: Final answer
    x = 347,110.55

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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.