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Finding the Fourth Proportional to 432,454.90, 647,698.20 and 221,846.80

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Solution

The fourth proportional to 432,454.90, 647,698.20 and 221,846.80 is: 332,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,454.90 : 647,698.20 = 221,846.80 : x
  2. Step 2: Convert to fraction form
    432,454.90/647,698.20 = 221,846.80/x
  3. Step 3: Cross multiply
    432,454.90x = 647,698.20 × 221,846.80
  4. Step 4: Simplify right side
    432,454.90x = 143,689,773,035.76
  5. Step 5: Solve for x
    x = 143,689,773,035.76/432,454.90
  6. Step 6: Final answer
    x = 332,265.34

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1.5x scale

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.