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Finding the Fourth Proportional to 442,853.10, 664,279.65 and 413,109.90

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Solution

The fourth proportional to 442,853.10, 664,279.65 and 413,109.90 is: 619,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,853.10 : 664,279.65 = 413,109.90 : x
  2. Step 2: Convert to fraction form
    442,853.10/664,279.65 = 413,109.90/x
  3. Step 3: Cross multiply
    442,853.10x = 664,279.65 × 413,109.90
  4. Step 4: Simplify right side
    442,853.10x = 274,420,499,783.54
  5. Step 5: Solve for x
    x = 274,420,499,783.54/442,853.10
  6. Step 6: Final answer
    x = 619,664.85

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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.