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Finding the Fourth Proportional to 288,768.96, 433,183.14 and 109,005.81

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Solution

The fourth proportional to 288,768.96, 433,183.14 and 109,005.81 is: 163,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,768.96 : 433,183.14 = 109,005.81 : x
  2. Step 2: Convert to fraction form
    288,768.96/433,183.14 = 109,005.81/x
  3. Step 3: Cross multiply
    288,768.96x = 433,183.14 × 109,005.81
  4. Step 4: Simplify right side
    288,768.96x = 47,219,479,054.04
  5. Step 5: Solve for x
    x = 47,219,479,054.04/288,768.96
  6. Step 6: Final answer
    x = 163,519.93

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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.