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Finding the Fourth Proportional to 601,738.96, 830,406.28 and 329,801

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Solution

The fourth proportional to 601,738.96, 830,406.28 and 329,801 is: 455,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,738.96 : 830,406.28 = 329,801 : x
  2. Step 2: Convert to fraction form
    601,738.96/830,406.28 = 329,801/x
  3. Step 3: Cross multiply
    601,738.96x = 830,406.28 × 329,801
  4. Step 4: Simplify right side
    601,738.96x = 273,868,821,550.28
  5. Step 5: Solve for x
    x = 273,868,821,550.28/601,738.96
  6. Step 6: Final answer
    x = 455,128.95

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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.