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Finding the Fourth Proportional to 203,266.48, 280,498.29 and 111,385.22

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Solution

The fourth proportional to 203,266.48, 280,498.29 and 111,385.22 is: 153,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,266.48 : 280,498.29 = 111,385.22 : x
  2. Step 2: Convert to fraction form
    203,266.48/280,498.29 = 111,385.22/x
  3. Step 3: Cross multiply
    203,266.48x = 280,498.29 × 111,385.22
  4. Step 4: Simplify right side
    203,266.48x = 31,243,363,336.53
  5. Step 5: Solve for x
    x = 31,243,363,336.53/203,266.48
  6. Step 6: Final answer
    x = 153,706.42

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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.