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Finding the Fourth Proportional to 601,462.11, 830,017.70 and 329,540.30

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Solution

The fourth proportional to 601,462.11, 830,017.70 and 329,540.30 is: 454,765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,462.11 : 830,017.70 = 329,540.30 : x
  2. Step 2: Convert to fraction form
    601,462.11/830,017.70 = 329,540.30/x
  3. Step 3: Cross multiply
    601,462.11x = 830,017.70 × 329,540.30
  4. Step 4: Simplify right side
    601,462.11x = 273,524,285,082.71
  5. Step 5: Solve for x
    x = 273,524,285,082.71/601,462.11
  6. Step 6: Final answer
    x = 454,765.61

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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.