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Finding the Fourth Proportional to 290,804.30, 401,615.89 and 259,104.35

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Solution

The fourth proportional to 290,804.30, 401,615.89 and 259,104.35 is: 357,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,804.30 : 401,615.89 = 259,104.35 : x
  2. Step 2: Convert to fraction form
    290,804.30/401,615.89 = 259,104.35/x
  3. Step 3: Cross multiply
    290,804.30x = 401,615.89 × 259,104.35
  4. Step 4: Simplify right side
    290,804.30x = 104,060,424,128.12
  5. Step 5: Solve for x
    x = 104,060,424,128.12/290,804.30
  6. Step 6: Final answer
    x = 357,836.61

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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.