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Finding the Fourth Proportional to 289,136.64, 433,704.96 and 122,808.32

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Solution

The fourth proportional to 289,136.64, 433,704.96 and 122,808.32 is: 184,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,136.64 : 433,704.96 = 122,808.32 : x
  2. Step 2: Convert to fraction form
    289,136.64/433,704.96 = 122,808.32/x
  3. Step 3: Cross multiply
    289,136.64x = 433,704.96 × 122,808.32
  4. Step 4: Simplify right side
    289,136.64x = 53,262,577,513.27
  5. Step 5: Solve for x
    x = 53,262,577,513.27/289,136.64
  6. Step 6: Final answer
    x = 184,212.48

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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.