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Finding the Fourth Proportional to 525,409.38, 787,620.32 and 397,129.50

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Solution

The fourth proportional to 525,409.38, 787,620.32 and 397,129.50 is: 595,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,409.38 : 787,620.32 = 397,129.50 : x
  2. Step 2: Convert to fraction form
    525,409.38/787,620.32 = 397,129.50/x
  3. Step 3: Cross multiply
    525,409.38x = 787,620.32 × 397,129.50
  4. Step 4: Simplify right side
    525,409.38x = 312,787,263,871.44
  5. Step 5: Solve for x
    x = 312,787,263,871.44/525,409.38
  6. Step 6: Final answer
    x = 595,321.05

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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.