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Finding the Fourth Proportional to 442,164.34, 609,753.28 and 280,739.14

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Solution

The fourth proportional to 442,164.34, 609,753.28 and 280,739.14 is: 387,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,164.34 : 609,753.28 = 280,739.14 : x
  2. Step 2: Convert to fraction form
    442,164.34/609,753.28 = 280,739.14/x
  3. Step 3: Cross multiply
    442,164.34x = 609,753.28 × 280,739.14
  4. Step 4: Simplify right side
    442,164.34x = 171,181,611,439.38
  5. Step 5: Solve for x
    x = 171,181,611,439.38/442,164.34
  6. Step 6: Final answer
    x = 387,144.77

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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.