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Finding the Fourth Proportional to 260,243, 390,403.38 and 82,755.80

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Solution

The fourth proportional to 260,243, 390,403.38 and 82,755.80 is: 124,146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,243 : 390,403.38 = 82,755.80 : x
  2. Step 2: Convert to fraction form
    260,243/390,403.38 = 82,755.80/x
  3. Step 3: Cross multiply
    260,243x = 390,403.38 × 82,755.80
  4. Step 4: Simplify right side
    260,243x = 32,308,144,034.60
  5. Step 5: Solve for x
    x = 32,308,144,034.60/260,243
  6. Step 6: Final answer
    x = 124,146.06

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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.