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Finding the Fourth Proportional to 381,685.48, 526,715.94 and 211,915.24

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Solution

The fourth proportional to 381,685.48, 526,715.94 and 211,915.24 is: 292,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,685.48 : 526,715.94 = 211,915.24 : x
  2. Step 2: Convert to fraction form
    381,685.48/526,715.94 = 211,915.24/x
  3. Step 3: Cross multiply
    381,685.48x = 526,715.94 × 211,915.24
  4. Step 4: Simplify right side
    381,685.48x = 111,619,134,836.93
  5. Step 5: Solve for x
    x = 111,619,134,836.93/381,685.48
  6. Step 6: Final answer
    x = 292,437.47

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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.