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Finding the Fourth Proportional to 381,007.68, 525,820.32 and 211,274.88

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Solution

The fourth proportional to 381,007.68, 525,820.32 and 211,274.88 is: 291,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,007.68 : 525,820.32 = 211,274.88 : x
  2. Step 2: Convert to fraction form
    381,007.68/525,820.32 = 211,274.88/x
  3. Step 3: Cross multiply
    381,007.68x = 525,820.32 × 211,274.88
  4. Step 4: Simplify right side
    381,007.68x = 111,092,625,009.56
  5. Step 5: Solve for x
    x = 111,092,625,009.56/381,007.68
  6. Step 6: Final answer
    x = 291,575.82

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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.