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Finding the Fourth Proportional to 511,422.64, 706,065.96 and 454,677.28

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Solution

The fourth proportional to 511,422.64, 706,065.96 and 454,677.28 is: 627,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,422.64 : 706,065.96 = 454,677.28 : x
  2. Step 2: Convert to fraction form
    511,422.64/706,065.96 = 454,677.28/x
  3. Step 3: Cross multiply
    511,422.64x = 706,065.96 × 454,677.28
  4. Step 4: Simplify right side
    511,422.64x = 321,032,150,193.39
  5. Step 5: Solve for x
    x = 321,032,150,193.39/511,422.64
  6. Step 6: Final answer
    x = 627,723.77

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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.