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Finding the Fourth Proportional to 381,809.50, 526,887.18 and 212,032.69

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Solution

The fourth proportional to 381,809.50, 526,887.18 and 212,032.69 is: 292,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,809.50 : 526,887.18 = 212,032.69 : x
  2. Step 2: Convert to fraction form
    381,809.50/526,887.18 = 212,032.69/x
  3. Step 3: Cross multiply
    381,809.50x = 526,887.18 × 212,032.69
  4. Step 4: Simplify right side
    381,809.50x = 111,717,304,784.70
  5. Step 5: Solve for x
    x = 111,717,304,784.70/381,809.50
  6. Step 6: Final answer
    x = 292,599.60

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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.