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Finding the Fourth Proportional to 290,636.38, 401,273.92 and 259,914.16

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Solution

The fourth proportional to 290,636.38, 401,273.92 and 259,914.16 is: 358,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,636.38 : 401,273.92 = 259,914.16 : x
  2. Step 2: Convert to fraction form
    290,636.38/401,273.92 = 259,914.16/x
  3. Step 3: Cross multiply
    290,636.38x = 401,273.92 × 259,914.16
  4. Step 4: Simplify right side
    290,636.38x = 104,296,773,846.71
  5. Step 5: Solve for x
    x = 104,296,773,846.71/290,636.38
  6. Step 6: Final answer
    x = 358,856.57

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1.5x scale

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.