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Finding the Fourth Proportional to 380,812.05, 525,520.62 and 211,057.11

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Solution

The fourth proportional to 380,812.05, 525,520.62 and 211,057.11 is: 291,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,812.05 : 525,520.62 = 211,057.11 : x
  2. Step 2: Convert to fraction form
    380,812.05/525,520.62 = 211,057.11/x
  3. Step 3: Cross multiply
    380,812.05x = 525,520.62 × 211,057.11
  4. Step 4: Simplify right side
    380,812.05x = 110,914,863,302.61
  5. Step 5: Solve for x
    x = 110,914,863,302.61/380,812.05
  6. Step 6: Final answer
    x = 291,258.81

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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.