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Finding the Fourth Proportional to 539,719.70, 809,061.15 and 419,710.10

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Solution

The fourth proportional to 539,719.70, 809,061.15 and 419,710.10 is: 629,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,719.70 : 809,061.15 = 419,710.10 : x
  2. Step 2: Convert to fraction form
    539,719.70/809,061.15 = 419,710.10/x
  3. Step 3: Cross multiply
    539,719.70x = 809,061.15 × 419,710.10
  4. Step 4: Simplify right side
    539,719.70x = 339,571,136,172.62
  5. Step 5: Solve for x
    x = 339,571,136,172.62/539,719.70
  6. Step 6: Final answer
    x = 629,162.02

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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.