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Finding the Fourth Proportional to 462,738.80, 694,108.20 and 213,420.80

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Solution

The fourth proportional to 462,738.80, 694,108.20 and 213,420.80 is: 320,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,738.80 : 694,108.20 = 213,420.80 : x
  2. Step 2: Convert to fraction form
    462,738.80/694,108.20 = 213,420.80/x
  3. Step 3: Cross multiply
    462,738.80x = 694,108.20 × 213,420.80
  4. Step 4: Simplify right side
    462,738.80x = 148,137,127,330.56
  5. Step 5: Solve for x
    x = 148,137,127,330.56/462,738.80
  6. Step 6: Final answer
    x = 320,131.20

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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.