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Finding the Fourth Proportional to 289,516.44, 434,126.52 and 120,990.81

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Solution

The fourth proportional to 289,516.44, 434,126.52 and 120,990.81 is: 181,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,516.44 : 434,126.52 = 120,990.81 : x
  2. Step 2: Convert to fraction form
    289,516.44/434,126.52 = 120,990.81/x
  3. Step 3: Cross multiply
    289,516.44x = 434,126.52 × 120,990.81
  4. Step 4: Simplify right side
    289,516.44x = 52,525,319,297.28
  5. Step 5: Solve for x
    x = 52,525,319,297.28/289,516.44
  6. Step 6: Final answer
    x = 181,424.31

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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.