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Finding the Fourth Proportional to 281,644.32, 388,705.32 and 160,757.91

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Solution

The fourth proportional to 281,644.32, 388,705.32 and 160,757.91 is: 221,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,644.32 : 388,705.32 = 160,757.91 : x
  2. Step 2: Convert to fraction form
    281,644.32/388,705.32 = 160,757.91/x
  3. Step 3: Cross multiply
    281,644.32x = 388,705.32 × 160,757.91
  4. Step 4: Simplify right side
    281,644.32x = 62,487,454,849.08
  5. Step 5: Solve for x
    x = 62,487,454,849.08/281,644.32
  6. Step 6: Final answer
    x = 221,866.55

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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.