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Finding the Fourth Proportional to 290,449.10, 435,042.74 and 140,374.65

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Solution

The fourth proportional to 290,449.10, 435,042.74 and 140,374.65 is: 210,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,449.10 : 435,042.74 = 140,374.65 : x
  2. Step 2: Convert to fraction form
    290,449.10/435,042.74 = 140,374.65/x
  3. Step 3: Cross multiply
    290,449.10x = 435,042.74 × 140,374.65
  4. Step 4: Simplify right side
    290,449.10x = 61,068,972,362.54
  5. Step 5: Solve for x
    x = 61,068,972,362.54/290,449.10
  6. Step 6: Final answer
    x = 210,257.05

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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.