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Finding the Fourth Proportional to 281,420.82, 388,361.36 and 152,360.64

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Solution

The fourth proportional to 281,420.82, 388,361.36 and 152,360.64 is: 210,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,420.82 : 388,361.36 = 152,360.64 : x
  2. Step 2: Convert to fraction form
    281,420.82/388,361.36 = 152,360.64/x
  3. Step 3: Cross multiply
    281,420.82x = 388,361.36 × 152,360.64
  4. Step 4: Simplify right side
    281,420.82x = 59,170,985,360.87
  5. Step 5: Solve for x
    x = 59,170,985,360.87/281,420.82
  6. Step 6: Final answer
    x = 210,258.02

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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.