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Finding the Fourth Proportional to 647,745.16, 971,590.20 and 221,319.22

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Solution

The fourth proportional to 647,745.16, 971,590.20 and 221,319.22 is: 331,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,745.16 : 971,590.20 = 221,319.22 : x
  2. Step 2: Convert to fraction form
    647,745.16/971,590.20 = 221,319.22/x
  3. Step 3: Cross multiply
    647,745.16x = 971,590.20 × 221,319.22
  4. Step 4: Simplify right side
    647,745.16x = 215,031,585,223.64
  5. Step 5: Solve for x
    x = 215,031,585,223.64/647,745.16
  6. Step 6: Final answer
    x = 331,969.42

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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.