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Finding the Fourth Proportional to 281,382.84, 388,345.28 and 160,496.37

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Solution

The fourth proportional to 281,382.84, 388,345.28 and 160,496.37 is: 221,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,382.84 : 388,345.28 = 160,496.37 : x
  2. Step 2: Convert to fraction form
    281,382.84/388,345.28 = 160,496.37/x
  3. Step 3: Cross multiply
    281,382.84x = 388,345.28 × 160,496.37
  4. Step 4: Simplify right side
    281,382.84x = 62,328,006,944.15
  5. Step 5: Solve for x
    x = 62,328,006,944.15/281,382.84
  6. Step 6: Final answer
    x = 221,506.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.