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Finding the Fourth Proportional to 601,268.92, 829,721.40 and 329,338

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Solution

The fourth proportional to 601,268.92, 829,721.40 and 329,338 is: 454,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,268.92 : 829,721.40 = 329,338 : x
  2. Step 2: Convert to fraction form
    601,268.92/829,721.40 = 329,338/x
  3. Step 3: Cross multiply
    601,268.92x = 829,721.40 × 329,338
  4. Step 4: Simplify right side
    601,268.92x = 273,258,786,433.20
  5. Step 5: Solve for x
    x = 273,258,786,433.20/601,268.92
  6. Step 6: Final answer
    x = 454,470.17

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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.