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Finding the Fourth Proportional to 289,296.56, 434,014.09 and 120,723.10

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Solution

The fourth proportional to 289,296.56, 434,014.09 and 120,723.10 is: 181,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,296.56 : 434,014.09 = 120,723.10 : x
  2. Step 2: Convert to fraction form
    289,296.56/434,014.09 = 120,723.10/x
  3. Step 3: Cross multiply
    289,296.56x = 434,014.09 × 120,723.10
  4. Step 4: Simplify right side
    289,296.56x = 52,395,525,001.64
  5. Step 5: Solve for x
    x = 52,395,525,001.64/289,296.56
  6. Step 6: Final answer
    x = 181,113.54

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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.