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Finding the Fourth Proportional to 647,472.89, 971,298.03 and 220,894.29

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Solution

The fourth proportional to 647,472.89, 971,298.03 and 220,894.29 is: 331,371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,472.89 : 971,298.03 = 220,894.29 : x
  2. Step 2: Convert to fraction form
    647,472.89/971,298.03 = 220,894.29/x
  3. Step 3: Cross multiply
    647,472.89x = 971,298.03 × 220,894.29
  4. Step 4: Simplify right side
    647,472.89x = 214,554,189,543.60
  5. Step 5: Solve for x
    x = 214,554,189,543.60/647,472.89
  6. Step 6: Final answer
    x = 331,371.69

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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.