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Finding the Fourth Proportional to 203,464.50, 280,784.40 and 112,824.30

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Solution

The fourth proportional to 203,464.50, 280,784.40 and 112,824.30 is: 155,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,464.50 : 280,784.40 = 112,824.30 : x
  2. Step 2: Convert to fraction form
    203,464.50/280,784.40 = 112,824.30/x
  3. Step 3: Cross multiply
    203,464.50x = 280,784.40 × 112,824.30
  4. Step 4: Simplify right side
    203,464.50x = 31,679,303,380.92
  5. Step 5: Solve for x
    x = 31,679,303,380.92/203,464.50
  6. Step 6: Final answer
    x = 155,699.41

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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.