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Finding the Fourth Proportional to 290,085.90, 435,149.80 and 121,436.61

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Solution

The fourth proportional to 290,085.90, 435,149.80 and 121,436.61 is: 182,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,085.90 : 435,149.80 = 121,436.61 : x
  2. Step 2: Convert to fraction form
    290,085.90/435,149.80 = 121,436.61/x
  3. Step 3: Cross multiply
    290,085.90x = 435,149.80 × 121,436.61
  4. Step 4: Simplify right side
    290,085.90x = 52,843,114,378.43
  5. Step 5: Solve for x
    x = 52,843,114,378.43/290,085.90
  6. Step 6: Final answer
    x = 182,163.68

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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.