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Finding the Fourth Proportional to 299,056.32, 412,683.84 and 171,642.24

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Solution

The fourth proportional to 299,056.32, 412,683.84 and 171,642.24 is: 236,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,056.32 : 412,683.84 = 171,642.24 : x
  2. Step 2: Convert to fraction form
    299,056.32/412,683.84 = 171,642.24/x
  3. Step 3: Cross multiply
    299,056.32x = 412,683.84 × 171,642.24
  4. Step 4: Simplify right side
    299,056.32x = 70,833,978,709.40
  5. Step 5: Solve for x
    x = 70,833,978,709.40/299,056.32
  6. Step 6: Final answer
    x = 236,858.32

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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.