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Finding the Fourth Proportional to 290,309.60, 435,464.43 and 90,647.09

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Solution

The fourth proportional to 290,309.60, 435,464.43 and 90,647.09 is: 135,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,309.60 : 435,464.43 = 90,647.09 : x
  2. Step 2: Convert to fraction form
    290,309.60/435,464.43 = 90,647.09/x
  3. Step 3: Cross multiply
    290,309.60x = 435,464.43 × 90,647.09
  4. Step 4: Simplify right side
    290,309.60x = 39,473,583,378.01
  5. Step 5: Solve for x
    x = 39,473,583,378.01/290,309.60
  6. Step 6: Final answer
    x = 135,970.64

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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.