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Finding the Fourth Proportional to 647,218.56, 971,265.20 and 226,498.08

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Solution

The fourth proportional to 647,218.56, 971,265.20 and 226,498.08 is: 339,900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,218.56 : 971,265.20 = 226,498.08 : x
  2. Step 2: Convert to fraction form
    647,218.56/971,265.20 = 226,498.08/x
  3. Step 3: Cross multiply
    647,218.56x = 971,265.20 × 226,498.08
  4. Step 4: Simplify right side
    647,218.56x = 219,989,702,970.82
  5. Step 5: Solve for x
    x = 219,989,702,970.82/647,218.56
  6. Step 6: Final answer
    x = 339,900.18

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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.