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Finding the Fourth Proportional to 511,412.67, 706,052.16 and 454,667.31

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Solution

The fourth proportional to 511,412.67, 706,052.16 and 454,667.31 is: 627,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,412.67 : 706,052.16 = 454,667.31 : x
  2. Step 2: Convert to fraction form
    511,412.67/706,052.16 = 454,667.31/x
  3. Step 3: Cross multiply
    511,412.67x = 706,052.16 × 454,667.31
  4. Step 4: Simplify right side
    511,412.67x = 321,018,836,306.89
  5. Step 5: Solve for x
    x = 321,018,836,306.89/511,412.67
  6. Step 6: Final answer
    x = 627,709.98

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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.