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Finding the Fourth Proportional to 393,677, 543,303.46 and 223,965.80

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Solution

The fourth proportional to 393,677, 543,303.46 and 223,965.80 is: 309,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,677 : 543,303.46 = 223,965.80 : x
  2. Step 2: Convert to fraction form
    393,677/543,303.46 = 223,965.80/x
  3. Step 3: Cross multiply
    393,677x = 543,303.46 × 223,965.80
  4. Step 4: Simplify right side
    393,677x = 121,681,394,061.67
  5. Step 5: Solve for x
    x = 121,681,394,061.67/393,677
  6. Step 6: Final answer
    x = 309,089.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.