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Finding the Fourth Proportional to 289,365.90, 434,099.88 and 99,811.32

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Solution

The fourth proportional to 289,365.90, 434,099.88 and 99,811.32 is: 149,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,365.90 : 434,099.88 = 99,811.32 : x
  2. Step 2: Convert to fraction form
    289,365.90/434,099.88 = 99,811.32/x
  3. Step 3: Cross multiply
    289,365.90x = 434,099.88 × 99,811.32
  4. Step 4: Simplify right side
    289,365.90x = 43,328,082,034.64
  5. Step 5: Solve for x
    x = 43,328,082,034.64/289,365.90
  6. Step 6: Final answer
    x = 149,734.58

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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.