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Finding the Fourth Proportional to 281,258.95, 388,138.37 and 152,197.41

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Solution

The fourth proportional to 281,258.95, 388,138.37 and 152,197.41 is: 210,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,258.95 : 388,138.37 = 152,197.41 : x
  2. Step 2: Convert to fraction form
    281,258.95/388,138.37 = 152,197.41/x
  3. Step 3: Cross multiply
    281,258.95x = 388,138.37 × 152,197.41
  4. Step 4: Simplify right side
    281,258.95x = 59,073,654,635.62
  5. Step 5: Solve for x
    x = 59,073,654,635.62/281,258.95
  6. Step 6: Final answer
    x = 210,032.98

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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.