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Finding the Fourth Proportional to 290,226.65, 435,418.74 and 121,658.36

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Solution

The fourth proportional to 290,226.65, 435,418.74 and 121,658.36 is: 182,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,226.65 : 435,418.74 = 121,658.36 : x
  2. Step 2: Convert to fraction form
    290,226.65/435,418.74 = 121,658.36/x
  3. Step 3: Cross multiply
    290,226.65x = 435,418.74 × 121,658.36
  4. Step 4: Simplify right side
    290,226.65x = 52,972,327,644.57
  5. Step 5: Solve for x
    x = 52,972,327,644.57/290,226.65
  6. Step 6: Final answer
    x = 182,520.55

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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.