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Finding the Fourth Proportional to 380,813.64, 525,540.54 and 211,047.78

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Solution

The fourth proportional to 380,813.64, 525,540.54 and 211,047.78 is: 291,255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,813.64 : 525,540.54 = 211,047.78 : x
  2. Step 2: Convert to fraction form
    380,813.64/525,540.54 = 211,047.78/x
  3. Step 3: Cross multiply
    380,813.64x = 525,540.54 × 211,047.78
  4. Step 4: Simplify right side
    380,813.64x = 110,914,164,267.00
  5. Step 5: Solve for x
    x = 110,914,164,267.00/380,813.64
  6. Step 6: Final answer
    x = 291,255.76

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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.