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Finding the Fourth Proportional to 281,268.64, 388,151.74 and 152,207.10

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Solution

The fourth proportional to 281,268.64, 388,151.74 and 152,207.10 is: 210,046.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,268.64 : 388,151.74 = 152,207.10 : x
  2. Step 2: Convert to fraction form
    281,268.64/388,151.74 = 152,207.10/x
  3. Step 3: Cross multiply
    281,268.64x = 388,151.74 × 152,207.10
  4. Step 4: Simplify right side
    281,268.64x = 59,079,449,375.85
  5. Step 5: Solve for x
    x = 59,079,449,375.85/281,268.64
  6. Step 6: Final answer
    x = 210,046.35

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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.