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Finding the Fourth Proportional to 381,059.74, 525,886.04 and 211,293.86

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Solution

The fourth proportional to 381,059.74, 525,886.04 and 211,293.86 is: 291,598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,059.74 : 525,886.04 = 211,293.86 : x
  2. Step 2: Convert to fraction form
    381,059.74/525,886.04 = 211,293.86/x
  3. Step 3: Cross multiply
    381,059.74x = 525,886.04 × 211,293.86
  4. Step 4: Simplify right side
    381,059.74x = 111,116,490,255.25
  5. Step 5: Solve for x
    x = 111,116,490,255.25/381,059.74
  6. Step 6: Final answer
    x = 291,598.61

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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.