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Finding the Fourth Proportional to 308,031.91, 424,924.82 and 194,920.27

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Solution

The fourth proportional to 308,031.91, 424,924.82 and 194,920.27 is: 268,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,031.91 : 424,924.82 = 194,920.27 : x
  2. Step 2: Convert to fraction form
    308,031.91/424,924.82 = 194,920.27/x
  3. Step 3: Cross multiply
    308,031.91x = 424,924.82 × 194,920.27
  4. Step 4: Simplify right side
    308,031.91x = 82,826,459,338.14
  5. Step 5: Solve for x
    x = 82,826,459,338.14/308,031.91
  6. Step 6: Final answer
    x = 268,889.22

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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.