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Finding the Fourth Proportional to 362,784.78, 544,177.78 and 138,093.62

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Solution

The fourth proportional to 362,784.78, 544,177.78 and 138,093.62 is: 207,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,784.78 : 544,177.78 = 138,093.62 : x
  2. Step 2: Convert to fraction form
    362,784.78/544,177.78 = 138,093.62/x
  3. Step 3: Cross multiply
    362,784.78x = 544,177.78 × 138,093.62
  4. Step 4: Simplify right side
    362,784.78x = 75,147,476,497.64
  5. Step 5: Solve for x
    x = 75,147,476,497.64/362,784.78
  6. Step 6: Final answer
    x = 207,140.65

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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.