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Finding the Fourth Proportional to 380,898, 525,639.24 and 211,158

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Solution

The fourth proportional to 380,898, 525,639.24 and 211,158 is: 291,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,898 : 525,639.24 = 211,158 : x
  2. Step 2: Convert to fraction form
    380,898/525,639.24 = 211,158/x
  3. Step 3: Cross multiply
    380,898x = 525,639.24 × 211,158
  4. Step 4: Simplify right side
    380,898x = 110,992,930,639.92
  5. Step 5: Solve for x
    x = 110,992,930,639.92/380,898
  6. Step 6: Final answer
    x = 291,398.04

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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.