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Finding the Fourth Proportional to 285,408.40, 428,117.40 and 107,998.96

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Solution

The fourth proportional to 285,408.40, 428,117.40 and 107,998.96 is: 162,000.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,408.40 : 428,117.40 = 107,998.96 : x
  2. Step 2: Convert to fraction form
    285,408.40/428,117.40 = 107,998.96/x
  3. Step 3: Cross multiply
    285,408.40x = 428,117.40 × 107,998.96
  4. Step 4: Simplify right side
    285,408.40x = 46,236,233,957.90
  5. Step 5: Solve for x
    x = 46,236,233,957.90/285,408.40
  6. Step 6: Final answer
    x = 162,000.26

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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.