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Finding the Fourth Proportional to 276,809.92, 382,005.32 and 169,378

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Solution

The fourth proportional to 276,809.92, 382,005.32 and 169,378 is: 233,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,809.92 : 382,005.32 = 169,378 : x
  2. Step 2: Convert to fraction form
    276,809.92/382,005.32 = 169,378/x
  3. Step 3: Cross multiply
    276,809.92x = 382,005.32 × 169,378
  4. Step 4: Simplify right side
    276,809.92x = 64,703,297,090.96
  5. Step 5: Solve for x
    x = 64,703,297,090.96/276,809.92
  6. Step 6: Final answer
    x = 233,746.31

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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.