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Finding the Fourth Proportional to 439,345.76, 658,781.64 and 199,328.67

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Solution

The fourth proportional to 439,345.76, 658,781.64 and 199,328.67 is: 298,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,345.76 : 658,781.64 = 199,328.67 : x
  2. Step 2: Convert to fraction form
    439,345.76/658,781.64 = 199,328.67/x
  3. Step 3: Cross multiply
    439,345.76x = 658,781.64 × 199,328.67
  4. Step 4: Simplify right side
    439,345.76x = 131,314,068,121.62
  5. Step 5: Solve for x
    x = 131,314,068,121.62/439,345.76
  6. Step 6: Final answer
    x = 298,885.48

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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.