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Finding the Fourth Proportional to 657,873.90, 986,016.11 and 320,408.73

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Solution

The fourth proportional to 657,873.90, 986,016.11 and 320,408.73 is: 480,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,873.90 : 986,016.11 = 320,408.73 : x
  2. Step 2: Convert to fraction form
    657,873.90/986,016.11 = 320,408.73/x
  3. Step 3: Cross multiply
    657,873.90x = 986,016.11 × 320,408.73
  4. Step 4: Simplify right side
    657,873.90x = 315,928,167,962.60
  5. Step 5: Solve for x
    x = 315,928,167,962.60/657,873.90
  6. Step 6: Final answer
    x = 480,226.03

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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.