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Finding the Fourth Proportional to 647,898.26, 971,856.03 and 227,186.42

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Solution

The fourth proportional to 647,898.26, 971,856.03 and 227,186.42 is: 340,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,898.26 : 971,856.03 = 227,186.42 : x
  2. Step 2: Convert to fraction form
    647,898.26/971,856.03 = 227,186.42/x
  3. Step 3: Cross multiply
    647,898.26x = 971,856.03 × 227,186.42
  4. Step 4: Simplify right side
    647,898.26x = 220,792,492,211.11
  5. Step 5: Solve for x
    x = 220,792,492,211.11/647,898.26
  6. Step 6: Final answer
    x = 340,782.66

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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.