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Finding the Fourth Proportional to 385,629.30, 577,277.55 and 343,638.90

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Solution

The fourth proportional to 385,629.30, 577,277.55 and 343,638.90 is: 514,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,629.30 : 577,277.55 = 343,638.90 : x
  2. Step 2: Convert to fraction form
    385,629.30/577,277.55 = 343,638.90/x
  3. Step 3: Cross multiply
    385,629.30x = 577,277.55 × 343,638.90
  4. Step 4: Simplify right side
    385,629.30x = 198,375,022,276.70
  5. Step 5: Solve for x
    x = 198,375,022,276.70/385,629.30
  6. Step 6: Final answer
    x = 514,418.96

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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.