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Finding the Fourth Proportional to 665,744.57, 998,658.89 and 281,421.76

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Solution

The fourth proportional to 665,744.57, 998,658.89 and 281,421.76 is: 422,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,744.57 : 998,658.89 = 281,421.76 : x
  2. Step 2: Convert to fraction form
    665,744.57/998,658.89 = 281,421.76/x
  3. Step 3: Cross multiply
    665,744.57x = 998,658.89 × 281,421.76
  4. Step 4: Simplify right side
    665,744.57x = 281,044,340,670.35
  5. Step 5: Solve for x
    x = 281,044,340,670.35/665,744.57
  6. Step 6: Final answer
    x = 422,150.40

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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.