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Finding the Fourth Proportional to 270,435.84, 373,192.56 and 149,575.20

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Solution

The fourth proportional to 270,435.84, 373,192.56 and 149,575.20 is: 206,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,435.84 : 373,192.56 = 149,575.20 : x
  2. Step 2: Convert to fraction form
    270,435.84/373,192.56 = 149,575.20/x
  3. Step 3: Cross multiply
    270,435.84x = 373,192.56 × 149,575.20
  4. Step 4: Simplify right side
    270,435.84x = 55,820,351,800.51
  5. Step 5: Solve for x
    x = 55,820,351,800.51/270,435.84
  6. Step 6: Final answer
    x = 206,408.85

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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.