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Finding the Fourth Proportional to 290,449.70, 435,363.07 and 140,483.69

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Solution

The fourth proportional to 290,449.70, 435,363.07 and 140,483.69 is: 210,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,449.70 : 435,363.07 = 140,483.69 : x
  2. Step 2: Convert to fraction form
    290,449.70/435,363.07 = 140,483.69/x
  3. Step 3: Cross multiply
    290,449.70x = 435,363.07 × 140,483.69
  4. Step 4: Simplify right side
    290,449.70x = 61,161,410,563.33
  5. Step 5: Solve for x
    x = 61,161,410,563.33/290,449.70
  6. Step 6: Final answer
    x = 210,574.88

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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.