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Finding the Fourth Proportional to 343,760.16, 474,446.08 and 200,520.30

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Solution

The fourth proportional to 343,760.16, 474,446.08 and 200,520.30 is: 276,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,760.16 : 474,446.08 = 200,520.30 : x
  2. Step 2: Convert to fraction form
    343,760.16/474,446.08 = 200,520.30/x
  3. Step 3: Cross multiply
    343,760.16x = 474,446.08 × 200,520.30
  4. Step 4: Simplify right side
    343,760.16x = 95,136,070,295.42
  5. Step 5: Solve for x
    x = 95,136,070,295.42/343,760.16
  6. Step 6: Final answer
    x = 276,751.30

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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.