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Finding the Fourth Proportional to 380,818.80, 525,529.93 and 211,063.86

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Solution

The fourth proportional to 380,818.80, 525,529.93 and 211,063.86 is: 291,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,818.80 : 525,529.93 = 211,063.86 : x
  2. Step 2: Convert to fraction form
    380,818.80/525,529.93 = 211,063.86/x
  3. Step 3: Cross multiply
    380,818.80x = 525,529.93 × 211,063.86
  4. Step 4: Simplify right side
    380,818.80x = 110,920,375,571.33
  5. Step 5: Solve for x
    x = 110,920,375,571.33/380,818.80
  6. Step 6: Final answer
    x = 291,268.12

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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.