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Finding the Fourth Proportional to 290,494.16, 435,811.29 and 100,926.94

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Solution

The fourth proportional to 290,494.16, 435,811.29 and 100,926.94 is: 151,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,494.16 : 435,811.29 = 100,926.94 : x
  2. Step 2: Convert to fraction form
    290,494.16/435,811.29 = 100,926.94/x
  3. Step 3: Cross multiply
    290,494.16x = 435,811.29 × 100,926.94
  4. Step 4: Simplify right side
    290,494.16x = 43,985,099,917.15
  5. Step 5: Solve for x
    x = 43,985,099,917.15/290,494.16
  6. Step 6: Final answer
    x = 151,414.75

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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.