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Finding the Fourth Proportional to 647,212.64, 971,256.16 and 226,492.16

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Solution

The fourth proportional to 647,212.64, 971,256.16 and 226,492.16 is: 339,891.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,212.64 : 971,256.16 = 226,492.16 : x
  2. Step 2: Convert to fraction form
    647,212.64/971,256.16 = 226,492.16/x
  3. Step 3: Cross multiply
    647,212.64x = 971,256.16 × 226,492.16
  4. Step 4: Simplify right side
    647,212.64x = 219,981,905,591.71
  5. Step 5: Solve for x
    x = 219,981,905,591.71/647,212.64
  6. Step 6: Final answer
    x = 339,891.24

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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.