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Finding the Fourth Proportional to 290,519.89, 434,842.40 and 150,085.33

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Solution

The fourth proportional to 290,519.89, 434,842.40 and 150,085.33 is: 224,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,519.89 : 434,842.40 = 150,085.33 : x
  2. Step 2: Convert to fraction form
    290,519.89/434,842.40 = 150,085.33/x
  3. Step 3: Cross multiply
    290,519.89x = 434,842.40 × 150,085.33
  4. Step 4: Simplify right side
    290,519.89x = 65,263,464,895.12
  5. Step 5: Solve for x
    x = 65,263,464,895.12/290,519.89
  6. Step 6: Final answer
    x = 224,643.71

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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.