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Finding the Fourth Proportional to 281,570.96, 388,568.16 and 154,251.20

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Solution

The fourth proportional to 281,570.96, 388,568.16 and 154,251.20 is: 212,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,570.96 : 388,568.16 = 154,251.20 : x
  2. Step 2: Convert to fraction form
    281,570.96/388,568.16 = 154,251.20/x
  3. Step 3: Cross multiply
    281,570.96x = 388,568.16 × 154,251.20
  4. Step 4: Simplify right side
    281,570.96x = 59,937,104,961.79
  5. Step 5: Solve for x
    x = 59,937,104,961.79/281,570.96
  6. Step 6: Final answer
    x = 212,866.78

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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.