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Finding the Fourth Proportional to 259,967.40, 389,367.90 and 213,311.40

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Solution

The fourth proportional to 259,967.40, 389,367.90 and 213,311.40 is: 319,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,967.40 : 389,367.90 = 213,311.40 : x
  2. Step 2: Convert to fraction form
    259,967.40/389,367.90 = 213,311.40/x
  3. Step 3: Cross multiply
    259,967.40x = 389,367.90 × 213,311.40
  4. Step 4: Simplify right side
    259,967.40x = 83,056,611,864.06
  5. Step 5: Solve for x
    x = 83,056,611,864.06/259,967.40
  6. Step 6: Final answer
    x = 319,488.57

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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.