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Finding the Fourth Proportional to 421,057.80, 632,169.90 and 332,411.40

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Solution

The fourth proportional to 421,057.80, 632,169.90 and 332,411.40 is: 499,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,057.80 : 632,169.90 = 332,411.40 : x
  2. Step 2: Convert to fraction form
    421,057.80/632,169.90 = 332,411.40/x
  3. Step 3: Cross multiply
    421,057.80x = 632,169.90 × 332,411.40
  4. Step 4: Simplify right side
    421,057.80x = 210,140,481,496.86
  5. Step 5: Solve for x
    x = 210,140,481,496.86/421,057.80
  6. Step 6: Final answer
    x = 499,077.52

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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.