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Finding the Fourth Proportional to 663,919.86, 995,369.31 and 343,728.48

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Solution

The fourth proportional to 663,919.86, 995,369.31 and 343,728.48 is: 515,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,919.86 : 995,369.31 = 343,728.48 : x
  2. Step 2: Convert to fraction form
    663,919.86/995,369.31 = 343,728.48/x
  3. Step 3: Cross multiply
    663,919.86x = 995,369.31 × 343,728.48
  4. Step 4: Simplify right side
    663,919.86x = 342,136,779,964.95
  5. Step 5: Solve for x
    x = 342,136,779,964.95/663,919.86
  6. Step 6: Final answer
    x = 515,328.43

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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.