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Finding the Fourth Proportional to 647,971.92, 971,953.74 and 221,301.90

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Solution

The fourth proportional to 647,971.92, 971,953.74 and 221,301.90 is: 331,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,971.92 : 971,953.74 = 221,301.90 : x
  2. Step 2: Convert to fraction form
    647,971.92/971,953.74 = 221,301.90/x
  3. Step 3: Cross multiply
    647,971.92x = 971,953.74 × 221,301.90
  4. Step 4: Simplify right side
    647,971.92x = 215,095,209,374.11
  5. Step 5: Solve for x
    x = 215,095,209,374.11/647,971.92
  6. Step 6: Final answer
    x = 331,951.44

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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.