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Finding the Fourth Proportional to 290,809.34, 436,214.11 and 91,145.22

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Solution

The fourth proportional to 290,809.34, 436,214.11 and 91,145.22 is: 136,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,809.34 : 436,214.11 = 91,145.22 : x
  2. Step 2: Convert to fraction form
    290,809.34/436,214.11 = 91,145.22/x
  3. Step 3: Cross multiply
    290,809.34x = 436,214.11 × 91,145.22
  4. Step 4: Simplify right side
    290,809.34x = 39,758,831,023.05
  5. Step 5: Solve for x
    x = 39,758,831,023.05/290,809.34
  6. Step 6: Final answer
    x = 136,717.86

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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.