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Finding the Fourth Proportional to 274,043.74, 378,173.69 and 153,199.24

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Solution

The fourth proportional to 274,043.74, 378,173.69 and 153,199.24 is: 211,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,043.74 : 378,173.69 = 153,199.24 : x
  2. Step 2: Convert to fraction form
    274,043.74/378,173.69 = 153,199.24/x
  3. Step 3: Cross multiply
    274,043.74x = 378,173.69 × 153,199.24
  4. Step 4: Simplify right side
    274,043.74x = 57,935,920,388.13
  5. Step 5: Solve for x
    x = 57,935,920,388.13/274,043.74
  6. Step 6: Final answer
    x = 211,411.21

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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.