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Finding the Fourth Proportional to 281,667, 388,700.46 and 162,435

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Solution

The fourth proportional to 281,667, 388,700.46 and 162,435 is: 224,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,667 : 388,700.46 = 162,435 : x
  2. Step 2: Convert to fraction form
    281,667/388,700.46 = 162,435/x
  3. Step 3: Cross multiply
    281,667x = 388,700.46 × 162,435
  4. Step 4: Simplify right side
    281,667x = 63,138,559,220.10
  5. Step 5: Solve for x
    x = 63,138,559,220.10/281,667
  6. Step 6: Final answer
    x = 224,160.30

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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.