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Finding the Fourth Proportional to 281,668, 388,701.84 and 162,436

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Solution

The fourth proportional to 281,668, 388,701.84 and 162,436 is: 224,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,668 : 388,701.84 = 162,436 : x
  2. Step 2: Convert to fraction form
    281,668/388,701.84 = 162,436/x
  3. Step 3: Cross multiply
    281,668x = 388,701.84 × 162,436
  4. Step 4: Simplify right side
    281,668x = 63,139,172,082.24
  5. Step 5: Solve for x
    x = 63,139,172,082.24/281,668
  6. Step 6: Final answer
    x = 224,161.68

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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.