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Finding the Fourth Proportional to 978,002.10, 1,467,258.30 and 378,982.80

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Solution

The fourth proportional to 978,002.10, 1,467,258.30 and 378,982.80 is: 568,573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,002.10 : 1,467,258.30 = 378,982.80 : x
  2. Step 2: Convert to fraction form
    978,002.10/1,467,258.30 = 378,982.80/x
  3. Step 3: Cross multiply
    978,002.10x = 1,467,258.30 × 378,982.80
  4. Step 4: Simplify right side
    978,002.10x = 556,065,658,857.24
  5. Step 5: Solve for x
    x = 556,065,658,857.24/978,002.10
  6. Step 6: Final answer
    x = 568,573.07

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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.