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Finding the Fourth Proportional to 578,404.20, 866,051.10 and 419,773.80

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Solution

The fourth proportional to 578,404.20, 866,051.10 and 419,773.80 is: 628,532.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,404.20 : 866,051.10 = 419,773.80 : x
  2. Step 2: Convert to fraction form
    578,404.20/866,051.10 = 419,773.80/x
  3. Step 3: Cross multiply
    578,404.20x = 866,051.10 × 419,773.80
  4. Step 4: Simplify right side
    578,404.20x = 363,545,561,241.18
  5. Step 5: Solve for x
    x = 363,545,561,241.18/578,404.20
  6. Step 6: Final answer
    x = 628,532.02

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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.