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Finding the Fourth Proportional to 203,209.89, 280,426.50 and 111,328.44

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Solution

The fourth proportional to 203,209.89, 280,426.50 and 111,328.44 is: 153,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,209.89 : 280,426.50 = 111,328.44 : x
  2. Step 2: Convert to fraction form
    203,209.89/280,426.50 = 111,328.44/x
  3. Step 3: Cross multiply
    203,209.89x = 280,426.50 × 111,328.44
  4. Step 4: Simplify right side
    203,209.89x = 31,219,444,779.66
  5. Step 5: Solve for x
    x = 31,219,444,779.66/203,209.89
  6. Step 6: Final answer
    x = 153,631.52

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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.