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Finding the Fourth Proportional to 432,031.80, 647,529.30 and 221,561.40

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Solution

The fourth proportional to 432,031.80, 647,529.30 and 221,561.40 is: 332,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,031.80 : 647,529.30 = 221,561.40 : x
  2. Step 2: Convert to fraction form
    432,031.80/647,529.30 = 221,561.40/x
  3. Step 3: Cross multiply
    432,031.80x = 647,529.30 × 221,561.40
  4. Step 4: Simplify right side
    432,031.80x = 143,467,498,249.02
  5. Step 5: Solve for x
    x = 143,467,498,249.02/432,031.80
  6. Step 6: Final answer
    x = 332,076.25

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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.