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Finding the Fourth Proportional to 203,208.42, 280,424.43 and 111,326.98

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Solution

The fourth proportional to 203,208.42, 280,424.43 and 111,326.98 is: 153,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,208.42 : 280,424.43 = 111,326.98 : x
  2. Step 2: Convert to fraction form
    203,208.42/280,424.43 = 111,326.98/x
  3. Step 3: Cross multiply
    203,208.42x = 280,424.43 × 111,326.98
  4. Step 4: Simplify right side
    203,208.42x = 31,218,803,508.00
  5. Step 5: Solve for x
    x = 31,218,803,508.00/203,208.42
  6. Step 6: Final answer
    x = 153,629.48

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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.