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Finding the Fourth Proportional to 699,963.92, 965,941.80 and 398,157.20

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Solution

The fourth proportional to 699,963.92, 965,941.80 and 398,157.20 is: 549,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,963.92 : 965,941.80 = 398,157.20 : x
  2. Step 2: Convert to fraction form
    699,963.92/965,941.80 = 398,157.20/x
  3. Step 3: Cross multiply
    699,963.92x = 965,941.80 × 398,157.20
  4. Step 4: Simplify right side
    699,963.92x = 384,596,682,450.96
  5. Step 5: Solve for x
    x = 384,596,682,450.96/699,963.92
  6. Step 6: Final answer
    x = 549,452.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.