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Finding the Fourth Proportional to 397,266.90, 595,900.35 and 353,721.30

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Solution

The fourth proportional to 397,266.90, 595,900.35 and 353,721.30 is: 530,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,266.90 : 595,900.35 = 353,721.30 : x
  2. Step 2: Convert to fraction form
    397,266.90/595,900.35 = 353,721.30/x
  3. Step 3: Cross multiply
    397,266.90x = 595,900.35 × 353,721.30
  4. Step 4: Simplify right side
    397,266.90x = 210,782,646,472.46
  5. Step 5: Solve for x
    x = 210,782,646,472.46/397,266.90
  6. Step 6: Final answer
    x = 530,581.95

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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.