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Finding the Fourth Proportional to 351,744.10, 485,415.78 and 215,853.10

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Solution

The fourth proportional to 351,744.10, 485,415.78 and 215,853.10 is: 297,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,744.10 : 485,415.78 = 215,853.10 : x
  2. Step 2: Convert to fraction form
    351,744.10/485,415.78 = 215,853.10/x
  3. Step 3: Cross multiply
    351,744.10x = 485,415.78 × 215,853.10
  4. Step 4: Simplify right side
    351,744.10x = 104,778,500,901.92
  5. Step 5: Solve for x
    x = 104,778,500,901.92/351,744.10
  6. Step 6: Final answer
    x = 297,882.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.