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Finding the Fourth Proportional to 381,009.68, 525,823.08 and 211,276.88

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Solution

The fourth proportional to 381,009.68, 525,823.08 and 211,276.88 is: 291,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,009.68 : 525,823.08 = 211,276.88 : x
  2. Step 2: Convert to fraction form
    381,009.68/525,823.08 = 211,276.88/x
  3. Step 3: Cross multiply
    381,009.68x = 525,823.08 × 211,276.88
  4. Step 4: Simplify right side
    381,009.68x = 111,094,259,774.39
  5. Step 5: Solve for x
    x = 111,094,259,774.39/381,009.68
  6. Step 6: Final answer
    x = 291,578.58

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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.