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Finding the Fourth Proportional to 290,638.40, 436,022.40 and 113,129.60

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Solution

The fourth proportional to 290,638.40, 436,022.40 and 113,129.60 is: 169,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,638.40 : 436,022.40 = 113,129.60 : x
  2. Step 2: Convert to fraction form
    290,638.40/436,022.40 = 113,129.60/x
  3. Step 3: Cross multiply
    290,638.40x = 436,022.40 × 113,129.60
  4. Step 4: Simplify right side
    290,638.40x = 49,327,039,703.04
  5. Step 5: Solve for x
    x = 49,327,039,703.04/290,638.40
  6. Step 6: Final answer
    x = 169,719.62

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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.