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Finding the Fourth Proportional to 541,406.70, 810,360.45 and 422,433.90

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Solution

The fourth proportional to 541,406.70, 810,360.45 and 422,433.90 is: 632,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,406.70 : 810,360.45 = 422,433.90 : x
  2. Step 2: Convert to fraction form
    541,406.70/810,360.45 = 422,433.90/x
  3. Step 3: Cross multiply
    541,406.70x = 810,360.45 × 422,433.90
  4. Step 4: Simplify right side
    541,406.70x = 342,323,725,299.26
  5. Step 5: Solve for x
    x = 342,323,725,299.26/541,406.70
  6. Step 6: Final answer
    x = 632,285.72

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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.