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Finding the Fourth Proportional to 274,532.80, 378,836.88 and 153,653.44

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Solution

The fourth proportional to 274,532.80, 378,836.88 and 153,653.44 is: 212,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,532.80 : 378,836.88 = 153,653.44 : x
  2. Step 2: Convert to fraction form
    274,532.80/378,836.88 = 153,653.44/x
  3. Step 3: Cross multiply
    274,532.80x = 378,836.88 × 153,653.44
  4. Step 4: Simplify right side
    274,532.80x = 58,209,589,810.87
  5. Step 5: Solve for x
    x = 58,209,589,810.87/274,532.80
  6. Step 6: Final answer
    x = 212,031.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.