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Finding the Fourth Proportional to 287,223.15, 396,234.94 and 185,281.49

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Solution

The fourth proportional to 287,223.15, 396,234.94 and 185,281.49 is: 255,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,223.15 : 396,234.94 = 185,281.49 : x
  2. Step 2: Convert to fraction form
    287,223.15/396,234.94 = 185,281.49/x
  3. Step 3: Cross multiply
    287,223.15x = 396,234.94 × 185,281.49
  4. Step 4: Simplify right side
    287,223.15x = 73,414,998,063.33
  5. Step 5: Solve for x
    x = 73,414,998,063.33/287,223.15
  6. Step 6: Final answer
    x = 255,602.65

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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.