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Finding the Fourth Proportional to 432,021.80, 647,946.30 and 207,381.80

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Solution

The fourth proportional to 432,021.80, 647,946.30 and 207,381.80 is: 311,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,021.80 : 647,946.30 = 207,381.80 : x
  2. Step 2: Convert to fraction form
    432,021.80/647,946.30 = 207,381.80/x
  3. Step 3: Cross multiply
    432,021.80x = 647,946.30 × 207,381.80
  4. Step 4: Simplify right side
    432,021.80x = 134,372,269,997.34
  5. Step 5: Solve for x
    x = 134,372,269,997.34/432,021.80
  6. Step 6: Final answer
    x = 311,031.23

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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.