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Finding the Fourth Proportional to 289,858.32, 434,741.04 and 79,447.44

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Solution

The fourth proportional to 289,858.32, 434,741.04 and 79,447.44 is: 119,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,858.32 : 434,741.04 = 79,447.44 : x
  2. Step 2: Convert to fraction form
    289,858.32/434,741.04 = 79,447.44/x
  3. Step 3: Cross multiply
    289,858.32x = 434,741.04 × 79,447.44
  4. Step 4: Simplify right side
    289,858.32x = 34,539,062,690.94
  5. Step 5: Solve for x
    x = 34,539,062,690.94/289,858.32
  6. Step 6: Final answer
    x = 119,158.43

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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.