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Finding the Fourth Proportional to 307,508.72, 424,143.96 and 199,880.24

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Solution

The fourth proportional to 307,508.72, 424,143.96 and 199,880.24 is: 275,692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,508.72 : 424,143.96 = 199,880.24 : x
  2. Step 2: Convert to fraction form
    307,508.72/424,143.96 = 199,880.24/x
  3. Step 3: Cross multiply
    307,508.72x = 424,143.96 × 199,880.24
  4. Step 4: Simplify right side
    307,508.72x = 84,777,996,519.35
  5. Step 5: Solve for x
    x = 84,777,996,519.35/307,508.72
  6. Step 6: Final answer
    x = 275,692.98

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1.5x scale

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.