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Finding the Fourth Proportional to 290,757.38, 435,690.93 and 195,635.23

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Solution

The fourth proportional to 290,757.38, 435,690.93 and 195,635.23 is: 293,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,757.38 : 435,690.93 = 195,635.23 : x
  2. Step 2: Convert to fraction form
    290,757.38/435,690.93 = 195,635.23/x
  3. Step 3: Cross multiply
    290,757.38x = 435,690.93 × 195,635.23
  4. Step 4: Simplify right side
    290,757.38x = 85,236,496,199.67
  5. Step 5: Solve for x
    x = 85,236,496,199.67/290,757.38
  6. Step 6: Final answer
    x = 293,153.34

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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.