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Finding the Fourth Proportional to 382,414.40, 573,621.60 and 205,267.40

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Solution

The fourth proportional to 382,414.40, 573,621.60 and 205,267.40 is: 307,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,414.40 : 573,621.60 = 205,267.40 : x
  2. Step 2: Convert to fraction form
    382,414.40/573,621.60 = 205,267.40/x
  3. Step 3: Cross multiply
    382,414.40x = 573,621.60 × 205,267.40
  4. Step 4: Simplify right side
    382,414.40x = 117,745,814,415.84
  5. Step 5: Solve for x
    x = 117,745,814,415.84/382,414.40
  6. Step 6: Final answer
    x = 307,901.10

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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.