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Finding the Fourth Proportional to 319,385.58, 440,640.80 and 204,727.45

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Solution

The fourth proportional to 319,385.58, 440,640.80 and 204,727.45 is: 282,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,385.58 : 440,640.80 = 204,727.45 : x
  2. Step 2: Convert to fraction form
    319,385.58/440,640.80 = 204,727.45/x
  3. Step 3: Cross multiply
    319,385.58x = 440,640.80 × 204,727.45
  4. Step 4: Simplify right side
    319,385.58x = 90,211,267,129.19
  5. Step 5: Solve for x
    x = 90,211,267,129.19/319,385.58
  6. Step 6: Final answer
    x = 282,452.54

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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.