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Finding the Fourth Proportional to 541,412.20, 810,368.70 and 422,439.40

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Solution

The fourth proportional to 541,412.20, 810,368.70 and 422,439.40 is: 632,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,412.20 : 810,368.70 = 422,439.40 : x
  2. Step 2: Convert to fraction form
    541,412.20/810,368.70 = 422,439.40/x
  3. Step 3: Cross multiply
    541,412.20x = 810,368.70 × 422,439.40
  4. Step 4: Simplify right side
    541,412.20x = 342,331,667,406.78
  5. Step 5: Solve for x
    x = 342,331,667,406.78/541,412.20
  6. Step 6: Final answer
    x = 632,293.97

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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.