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Finding the Fourth Proportional to 290,010.74, 434,912.29 and 100,420.18

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Solution

The fourth proportional to 290,010.74, 434,912.29 and 100,420.18 is: 150,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,010.74 : 434,912.29 = 100,420.18 : x
  2. Step 2: Convert to fraction form
    290,010.74/434,912.29 = 100,420.18/x
  3. Step 3: Cross multiply
    290,010.74x = 434,912.29 × 100,420.18
  4. Step 4: Simplify right side
    290,010.74x = 43,673,969,107.68
  5. Step 5: Solve for x
    x = 43,673,969,107.68/290,010.74
  6. Step 6: Final answer
    x = 150,594.32

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1.5x scale

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.