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Finding the Fourth Proportional to 274,762.90, 412,262.88 and 148,378

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Solution

The fourth proportional to 274,762.90, 412,262.88 and 148,378 is: 222,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,762.90 : 412,262.88 = 148,378 : x
  2. Step 2: Convert to fraction form
    274,762.90/412,262.88 = 148,378/x
  3. Step 3: Cross multiply
    274,762.90x = 412,262.88 × 148,378
  4. Step 4: Simplify right side
    274,762.90x = 61,170,741,608.64
  5. Step 5: Solve for x
    x = 61,170,741,608.64/274,762.90
  6. Step 6: Final answer
    x = 222,631.01

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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.