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Finding the Fourth Proportional to 643,206.80, 964,810.20 and 394,374.80

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Solution

The fourth proportional to 643,206.80, 964,810.20 and 394,374.80 is: 591,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,206.80 : 964,810.20 = 394,374.80 : x
  2. Step 2: Convert to fraction form
    643,206.80/964,810.20 = 394,374.80/x
  3. Step 3: Cross multiply
    643,206.80x = 964,810.20 × 394,374.80
  4. Step 4: Simplify right side
    643,206.80x = 380,496,829,662.96
  5. Step 5: Solve for x
    x = 380,496,829,662.96/643,206.80
  6. Step 6: Final answer
    x = 591,562.20

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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.