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Finding the Fourth Proportional to 290,513.22, 435,782.16 and 90,837.33

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Solution

The fourth proportional to 290,513.22, 435,782.16 and 90,837.33 is: 136,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,513.22 : 435,782.16 = 90,837.33 : x
  2. Step 2: Convert to fraction form
    290,513.22/435,782.16 = 90,837.33/x
  3. Step 3: Cross multiply
    290,513.22x = 435,782.16 × 90,837.33
  4. Step 4: Simplify right side
    290,513.22x = 39,585,287,876.03
  5. Step 5: Solve for x
    x = 39,585,287,876.03/290,513.22
  6. Step 6: Final answer
    x = 136,259.85

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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.