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Finding the Fourth Proportional to 290,705.07, 401,059.11 and 214,407.33

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Solution

The fourth proportional to 290,705.07, 401,059.11 and 214,407.33 is: 295,798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,705.07 : 401,059.11 = 214,407.33 : x
  2. Step 2: Convert to fraction form
    290,705.07/401,059.11 = 214,407.33/x
  3. Step 3: Cross multiply
    290,705.07x = 401,059.11 × 214,407.33
  4. Step 4: Simplify right side
    290,705.07x = 85,990,012,947.28
  5. Step 5: Solve for x
    x = 85,990,012,947.28/290,705.07
  6. Step 6: Final answer
    x = 295,798.12

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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.