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Finding the Fourth Proportional to 601,464.80, 830,021.41 and 329,543

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Solution

The fourth proportional to 601,464.80, 830,021.41 and 329,543 is: 454,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,464.80 : 830,021.41 = 329,543 : x
  2. Step 2: Convert to fraction form
    601,464.80/830,021.41 = 329,543/x
  3. Step 3: Cross multiply
    601,464.80x = 830,021.41 × 329,543
  4. Step 4: Simplify right side
    601,464.80x = 273,527,745,515.63
  5. Step 5: Solve for x
    x = 273,527,745,515.63/601,464.80
  6. Step 6: Final answer
    x = 454,769.33

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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.