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Finding the Fourth Proportional to 381,008.68, 525,821.70 and 211,275.88

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Solution

The fourth proportional to 381,008.68, 525,821.70 and 211,275.88 is: 291,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,008.68 : 525,821.70 = 211,275.88 : x
  2. Step 2: Convert to fraction form
    381,008.68/525,821.70 = 211,275.88/x
  3. Step 3: Cross multiply
    381,008.68x = 525,821.70 × 211,275.88
  4. Step 4: Simplify right side
    381,008.68x = 111,093,442,390.60
  5. Step 5: Solve for x
    x = 111,093,442,390.60/381,008.68
  6. Step 6: Final answer
    x = 291,577.20

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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.