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Finding the Fourth Proportional to 380,793.30, 525,515.67 and 211,023.78

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Solution

The fourth proportional to 380,793.30, 525,515.67 and 211,023.78 is: 291,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,793.30 : 525,515.67 = 211,023.78 : x
  2. Step 2: Convert to fraction form
    380,793.30/525,515.67 = 211,023.78/x
  3. Step 3: Cross multiply
    380,793.30x = 525,515.67 × 211,023.78
  4. Step 4: Simplify right side
    380,793.30x = 110,896,303,132.63
  5. Step 5: Solve for x
    x = 110,896,303,132.63/380,793.30
  6. Step 6: Final answer
    x = 291,224.41

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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.