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Finding the Fourth Proportional to 274,918.76, 412,442.72 and 85,369.36

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Solution

The fourth proportional to 274,918.76, 412,442.72 and 85,369.36 is: 128,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,918.76 : 412,442.72 = 85,369.36 : x
  2. Step 2: Convert to fraction form
    274,918.76/412,442.72 = 85,369.36/x
  3. Step 3: Cross multiply
    274,918.76x = 412,442.72 × 85,369.36
  4. Step 4: Simplify right side
    274,918.76x = 35,209,971,043.06
  5. Step 5: Solve for x
    x = 35,209,971,043.06/274,918.76
  6. Step 6: Final answer
    x = 128,074.09

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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.