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Finding the Fourth Proportional to 365,142.78, 547,743.06 and 128,538.54

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Solution

The fourth proportional to 365,142.78, 547,743.06 and 128,538.54 is: 192,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,142.78 : 547,743.06 = 128,538.54 : x
  2. Step 2: Convert to fraction form
    365,142.78/547,743.06 = 128,538.54/x
  3. Step 3: Cross multiply
    365,142.78x = 547,743.06 × 128,538.54
  4. Step 4: Simplify right side
    365,142.78x = 70,406,093,227.53
  5. Step 5: Solve for x
    x = 70,406,093,227.53/365,142.78
  6. Step 6: Final answer
    x = 192,817.98

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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.