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Finding the Fourth Proportional to 541,405.20, 810,358.20 and 422,432.40

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Solution

The fourth proportional to 541,405.20, 810,358.20 and 422,432.40 is: 632,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,405.20 : 810,358.20 = 422,432.40 : x
  2. Step 2: Convert to fraction form
    541,405.20/810,358.20 = 422,432.40/x
  3. Step 3: Cross multiply
    541,405.20x = 810,358.20 × 422,432.40
  4. Step 4: Simplify right side
    541,405.20x = 342,321,559,285.68
  5. Step 5: Solve for x
    x = 342,321,559,285.68/541,405.20
  6. Step 6: Final answer
    x = 632,283.47

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1.5x scale

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.