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Finding the Fourth Proportional to 260,440, 359,407.20 and 141,208

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Solution

The fourth proportional to 260,440, 359,407.20 and 141,208 is: 194,867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,440 : 359,407.20 = 141,208 : x
  2. Step 2: Convert to fraction form
    260,440/359,407.20 = 141,208/x
  3. Step 3: Cross multiply
    260,440x = 359,407.20 × 141,208
  4. Step 4: Simplify right side
    260,440x = 50,751,171,897.60
  5. Step 5: Solve for x
    x = 50,751,171,897.60/260,440
  6. Step 6: Final answer
    x = 194,867.04

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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.