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Finding the Fourth Proportional to 381,390.93, 572,119.74 and 141,507.54

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Solution

The fourth proportional to 381,390.93, 572,119.74 and 141,507.54 is: 212,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,390.93 : 572,119.74 = 141,507.54 : x
  2. Step 2: Convert to fraction form
    381,390.93/572,119.74 = 141,507.54/x
  3. Step 3: Cross multiply
    381,390.93x = 572,119.74 × 141,507.54
  4. Step 4: Simplify right side
    381,390.93x = 80,959,256,992.84
  5. Step 5: Solve for x
    x = 80,959,256,992.84/381,390.93
  6. Step 6: Final answer
    x = 212,273.68

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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.