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Finding the Fourth Proportional to 260,043, 358,859.34 and 140,811

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Solution

The fourth proportional to 260,043, 358,859.34 and 140,811 is: 194,319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,043 : 358,859.34 = 140,811 : x
  2. Step 2: Convert to fraction form
    260,043/358,859.34 = 140,811/x
  3. Step 3: Cross multiply
    260,043x = 358,859.34 × 140,811
  4. Step 4: Simplify right side
    260,043x = 50,531,342,524.74
  5. Step 5: Solve for x
    x = 50,531,342,524.74/260,043
  6. Step 6: Final answer
    x = 194,319.18

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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.