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Finding the Fourth Proportional to 511,808.97, 767,831.60 and 151,971.81

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Solution

The fourth proportional to 511,808.97, 767,831.60 and 151,971.81 is: 227,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,808.97 : 767,831.60 = 151,971.81 : x
  2. Step 2: Convert to fraction form
    511,808.97/767,831.60 = 151,971.81/x
  3. Step 3: Cross multiply
    511,808.97x = 767,831.60 × 151,971.81
  4. Step 4: Simplify right side
    511,808.97x = 116,688,757,267.34
  5. Step 5: Solve for x
    x = 116,688,757,267.34/511,808.97
  6. Step 6: Final answer
    x = 227,992.79

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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.