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Finding the Fourth Proportional to 442,874.64, 611,200.44 and 251,905.80

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Solution

The fourth proportional to 442,874.64, 611,200.44 and 251,905.80 is: 347,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,874.64 : 611,200.44 = 251,905.80 : x
  2. Step 2: Convert to fraction form
    442,874.64/611,200.44 = 251,905.80/x
  3. Step 3: Cross multiply
    442,874.64x = 611,200.44 × 251,905.80
  4. Step 4: Simplify right side
    442,874.64x = 153,964,935,798.55
  5. Step 5: Solve for x
    x = 153,964,935,798.55/442,874.64
  6. Step 6: Final answer
    x = 347,649.02

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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.