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Finding the Fourth Proportional to 299,973.48, 450,181.29 and 142,201.32

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Solution

The fourth proportional to 299,973.48, 450,181.29 and 142,201.32 is: 213,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,973.48 : 450,181.29 = 142,201.32 : x
  2. Step 2: Convert to fraction form
    299,973.48/450,181.29 = 142,201.32/x
  3. Step 3: Cross multiply
    299,973.48x = 450,181.29 × 142,201.32
  4. Step 4: Simplify right side
    299,973.48x = 64,016,373,677.30
  5. Step 5: Solve for x
    x = 64,016,373,677.30/299,973.48
  6. Step 6: Final answer
    x = 213,406.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.