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Finding the Fourth Proportional to 422,855.46, 633,139.02 and 309,678.21

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Solution

The fourth proportional to 422,855.46, 633,139.02 and 309,678.21 is: 463,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,855.46 : 633,139.02 = 309,678.21 : x
  2. Step 2: Convert to fraction form
    422,855.46/633,139.02 = 309,678.21/x
  3. Step 3: Cross multiply
    422,855.46x = 633,139.02 × 309,678.21
  4. Step 4: Simplify right side
    422,855.46x = 196,069,358,394.75
  5. Step 5: Solve for x
    x = 196,069,358,394.75/422,855.46
  6. Step 6: Final answer
    x = 463,679.38

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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.