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Finding the Fourth Proportional to 286,359.48, 394,911.99 and 194,615.64

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Solution

The fourth proportional to 286,359.48, 394,911.99 and 194,615.64 is: 268,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,359.48 : 394,911.99 = 194,615.64 : x
  2. Step 2: Convert to fraction form
    286,359.48/394,911.99 = 194,615.64/x
  3. Step 3: Cross multiply
    286,359.48x = 394,911.99 × 194,615.64
  4. Step 4: Simplify right side
    286,359.48x = 76,856,049,677.52
  5. Step 5: Solve for x
    x = 76,856,049,677.52/286,359.48
  6. Step 6: Final answer
    x = 268,390.10

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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.