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Finding the Fourth Proportional to 519,534.40, 777,989.40 and 414,558.40

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Solution

The fourth proportional to 519,534.40, 777,989.40 and 414,558.40 is: 620,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,534.40 : 777,989.40 = 414,558.40 : x
  2. Step 2: Convert to fraction form
    519,534.40/777,989.40 = 414,558.40/x
  3. Step 3: Cross multiply
    519,534.40x = 777,989.40 × 414,558.40
  4. Step 4: Simplify right side
    519,534.40x = 322,522,040,880.96
  5. Step 5: Solve for x
    x = 322,522,040,880.96/519,534.40
  6. Step 6: Final answer
    x = 620,790.54

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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.