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Finding the Fourth Proportional to 260,437, 359,403.06 and 141,205

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Solution

The fourth proportional to 260,437, 359,403.06 and 141,205 is: 194,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,437 : 359,403.06 = 141,205 : x
  2. Step 2: Convert to fraction form
    260,437/359,403.06 = 141,205/x
  3. Step 3: Cross multiply
    260,437x = 359,403.06 × 141,205
  4. Step 4: Simplify right side
    260,437x = 50,749,509,087.30
  5. Step 5: Solve for x
    x = 50,749,509,087.30/260,437
  6. Step 6: Final answer
    x = 194,862.90

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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.