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Finding the Fourth Proportional to 281,549.75, 388,544.93 and 160,688.61

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Solution

The fourth proportional to 281,549.75, 388,544.93 and 160,688.61 is: 221,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,549.75 : 388,544.93 = 160,688.61 : x
  2. Step 2: Convert to fraction form
    281,549.75/388,544.93 = 160,688.61/x
  3. Step 3: Cross multiply
    281,549.75x = 388,544.93 × 160,688.61
  4. Step 4: Simplify right side
    281,549.75x = 62,434,744,071.45
  5. Step 5: Solve for x
    x = 62,434,744,071.45/281,549.75
  6. Step 6: Final answer
    x = 221,753.86

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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.