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Finding the Fourth Proportional to 200,203,380.60, 280,889,394.60 and 200,203,380.60

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Solution

The fourth proportional to 200,203,380.60, 280,889,394.60 and 200,203,380.60 is: 280,889,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,203,380.60 : 280,889,394.60 = 200,203,380.60 : x
  2. Step 2: Convert to fraction form
    200,203,380.60/280,889,394.60 = 200,203,380.60/x
  3. Step 3: Cross multiply
    200,203,380.60x = 280,889,394.60 × 200,203,380.60
  4. Step 4: Simplify right side
    200,203,380.60x = 56,235,006,373,607,384
  5. Step 5: Solve for x
    x = 56,235,006,373,607,384/200,203,380.60
  6. Step 6: Final answer
    x = 280,889,394.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.