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Finding the Fourth Proportional to 281,698.14, 388,746.50 and 154,371

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Solution

The fourth proportional to 281,698.14, 388,746.50 and 154,371 is: 213,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,698.14 : 388,746.50 = 154,371 : x
  2. Step 2: Convert to fraction form
    281,698.14/388,746.50 = 154,371/x
  3. Step 3: Cross multiply
    281,698.14x = 388,746.50 × 154,371
  4. Step 4: Simplify right side
    281,698.14x = 60,011,185,179.65
  5. Step 5: Solve for x
    x = 60,011,185,179.65/281,698.14
  6. Step 6: Final answer
    x = 213,033.66

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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.