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Finding the Fourth Proportional to 546,822.70, 820,234.05 and 422,406.70

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Solution

The fourth proportional to 546,822.70, 820,234.05 and 422,406.70 is: 633,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,822.70 : 820,234.05 = 422,406.70 : x
  2. Step 2: Convert to fraction form
    546,822.70/820,234.05 = 422,406.70/x
  3. Step 3: Cross multiply
    546,822.70x = 820,234.05 × 422,406.70
  4. Step 4: Simplify right side
    546,822.70x = 346,472,358,288.14
  5. Step 5: Solve for x
    x = 346,472,358,288.14/546,822.70
  6. Step 6: Final answer
    x = 633,610.05

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Similar ratio
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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.