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Finding the Fourth Proportional to 647,485.10, 971,256.45 and 221,014.70

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Solution

The fourth proportional to 647,485.10, 971,256.45 and 221,014.70 is: 331,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,485.10 : 971,256.45 = 221,014.70 : x
  2. Step 2: Convert to fraction form
    647,485.10/971,256.45 = 221,014.70/x
  3. Step 3: Cross multiply
    647,485.10x = 971,256.45 × 221,014.70
  4. Step 4: Simplify right side
    647,485.10x = 214,661,952,919.82
  5. Step 5: Solve for x
    x = 214,661,952,919.82/647,485.10
  6. Step 6: Final answer
    x = 331,531.88

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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.