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Finding the Fourth Proportional to 281,674, 388,710.12 and 162,442

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Solution

The fourth proportional to 281,674, 388,710.12 and 162,442 is: 224,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,674 : 388,710.12 = 162,442 : x
  2. Step 2: Convert to fraction form
    281,674/388,710.12 = 162,442/x
  3. Step 3: Cross multiply
    281,674x = 388,710.12 × 162,442
  4. Step 4: Simplify right side
    281,674x = 63,142,849,313.04
  5. Step 5: Solve for x
    x = 63,142,849,313.04/281,674
  6. Step 6: Final answer
    x = 224,169.96

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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.