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Finding the Fourth Proportional to 409,274.90, 560,709.16 and 393,934.27

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Solution

The fourth proportional to 409,274.90, 560,709.16 and 393,934.27 is: 539,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,274.90 : 560,709.16 = 393,934.27 : x
  2. Step 2: Convert to fraction form
    409,274.90/560,709.16 = 393,934.27/x
  3. Step 3: Cross multiply
    409,274.90x = 560,709.16 × 393,934.27
  4. Step 4: Simplify right side
    409,274.90x = 220,882,553,626.91
  5. Step 5: Solve for x
    x = 220,882,553,626.91/409,274.90
  6. Step 6: Final answer
    x = 539,692.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.