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Finding the Fourth Proportional to 442,163.34, 609,751.90 and 280,738.14

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Solution

The fourth proportional to 442,163.34, 609,751.90 and 280,738.14 is: 387,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,163.34 : 609,751.90 = 280,738.14 : x
  2. Step 2: Convert to fraction form
    442,163.34/609,751.90 = 280,738.14/x
  3. Step 3: Cross multiply
    442,163.34x = 609,751.90 × 280,738.14
  4. Step 4: Simplify right side
    442,163.34x = 171,180,614,267.47
  5. Step 5: Solve for x
    x = 171,180,614,267.47/442,163.34
  6. Step 6: Final answer
    x = 387,143.39

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1.5x scale

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.