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Finding the Fourth Proportional to 381,782.88, 526,864.70 and 209,704.88

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Solution

The fourth proportional to 381,782.88, 526,864.70 and 209,704.88 is: 289,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,782.88 : 526,864.70 = 209,704.88 : x
  2. Step 2: Convert to fraction form
    381,782.88/526,864.70 = 209,704.88/x
  3. Step 3: Cross multiply
    381,782.88x = 526,864.70 × 209,704.88
  4. Step 4: Simplify right side
    381,782.88x = 110,486,099,419.81
  5. Step 5: Solve for x
    x = 110,486,099,419.81/381,782.88
  6. Step 6: Final answer
    x = 289,395.11

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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.