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Finding the Fourth Proportional to 978,102.42, 1,467,364.77 and 304,170.54

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Solution

The fourth proportional to 978,102.42, 1,467,364.77 and 304,170.54 is: 456,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,102.42 : 1,467,364.77 = 304,170.54 : x
  2. Step 2: Convert to fraction form
    978,102.42/1,467,364.77 = 304,170.54/x
  3. Step 3: Cross multiply
    978,102.42x = 1,467,364.77 × 304,170.54
  4. Step 4: Simplify right side
    978,102.42x = 446,329,134,467.88
  5. Step 5: Solve for x
    x = 446,329,134,467.88/978,102.42
  6. Step 6: Final answer
    x = 456,321.47

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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.