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Finding the Fourth Proportional to 601,462.58, 830,018.34 and 329,540.78

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Solution

The fourth proportional to 601,462.58, 830,018.34 and 329,540.78 is: 454,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,462.58 : 830,018.34 = 329,540.78 : x
  2. Step 2: Convert to fraction form
    601,462.58/830,018.34 = 329,540.78/x
  3. Step 3: Cross multiply
    601,462.58x = 830,018.34 × 329,540.78
  4. Step 4: Simplify right side
    601,462.58x = 273,524,891,177.91
  5. Step 5: Solve for x
    x = 273,524,891,177.91/601,462.58
  6. Step 6: Final answer
    x = 454,766.27

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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.