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Finding the Fourth Proportional to 354,679.40, 532,067.70 and 129,985.40

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Solution

The fourth proportional to 354,679.40, 532,067.70 and 129,985.40 is: 194,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,679.40 : 532,067.70 = 129,985.40 : x
  2. Step 2: Convert to fraction form
    354,679.40/532,067.70 = 129,985.40/x
  3. Step 3: Cross multiply
    354,679.40x = 532,067.70 × 129,985.40
  4. Step 4: Simplify right side
    354,679.40x = 69,161,032,811.58
  5. Step 5: Solve for x
    x = 69,161,032,811.58/354,679.40
  6. Step 6: Final answer
    x = 194,995.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.