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Finding the Fourth Proportional to 546,933.87, 818,997.48 and 378,221.40

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Solution

The fourth proportional to 546,933.87, 818,997.48 and 378,221.40 is: 566,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,933.87 : 818,997.48 = 378,221.40 : x
  2. Step 2: Convert to fraction form
    546,933.87/818,997.48 = 378,221.40/x
  3. Step 3: Cross multiply
    546,933.87x = 818,997.48 × 378,221.40
  4. Step 4: Simplify right side
    546,933.87x = 309,762,373,482.07
  5. Step 5: Solve for x
    x = 309,762,373,482.07/546,933.87
  6. Step 6: Final answer
    x = 566,361.66

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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.