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Finding the Fourth Proportional to 427,279.96, 641,142.74 and 309,920.07

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Solution

The fourth proportional to 427,279.96, 641,142.74 and 309,920.07 is: 465,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,279.96 : 641,142.74 = 309,920.07 : x
  2. Step 2: Convert to fraction form
    427,279.96/641,142.74 = 309,920.07/x
  3. Step 3: Cross multiply
    427,279.96x = 641,142.74 × 309,920.07
  4. Step 4: Simplify right side
    427,279.96x = 198,703,006,039.88
  5. Step 5: Solve for x
    x = 198,703,006,039.88/427,279.96
  6. Step 6: Final answer
    x = 465,041.72

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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.