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Finding the Fourth Proportional to 260,460, 359,434.96 and 141,228

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Solution

The fourth proportional to 260,460, 359,434.96 and 141,228 is: 194,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,460 : 359,434.96 = 141,228 : x
  2. Step 2: Convert to fraction form
    260,460/359,434.96 = 141,228/x
  3. Step 3: Cross multiply
    260,460x = 359,434.96 × 141,228
  4. Step 4: Simplify right side
    260,460x = 50,762,280,530.88
  5. Step 5: Solve for x
    x = 50,762,280,530.88/260,460
  6. Step 6: Final answer
    x = 194,894.73

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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.