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Finding the Fourth Proportional to 524,647.70, 787,763.55 and 419,153.30

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Solution

The fourth proportional to 524,647.70, 787,763.55 and 419,153.30 is: 629,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,647.70 : 787,763.55 = 419,153.30 : x
  2. Step 2: Convert to fraction form
    524,647.70/787,763.55 = 419,153.30/x
  3. Step 3: Cross multiply
    524,647.70x = 787,763.55 × 419,153.30
  4. Step 4: Simplify right side
    524,647.70x = 330,193,691,602.22
  5. Step 5: Solve for x
    x = 330,193,691,602.22/524,647.70
  6. Step 6: Final answer
    x = 629,362.70

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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.