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Finding the Fourth Proportional to 511,877.28, 706,617.12 and 330,677.52

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Solution

The fourth proportional to 511,877.28, 706,617.12 and 330,677.52 is: 456,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,877.28 : 706,617.12 = 330,677.52 : x
  2. Step 2: Convert to fraction form
    511,877.28/706,617.12 = 330,677.52/x
  3. Step 3: Cross multiply
    511,877.28x = 706,617.12 × 330,677.52
  4. Step 4: Simplify right side
    511,877.28x = 233,662,396,831.14
  5. Step 5: Solve for x
    x = 233,662,396,831.14/511,877.28
  6. Step 6: Final answer
    x = 456,481.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.