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Finding the Fourth Proportional to 978,189.90, 1,467,284.85 and 978,189.90

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Solution

The fourth proportional to 978,189.90, 1,467,284.85 and 978,189.90 is: 1,467,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,189.90 : 1,467,284.85 = 978,189.90 : x
  2. Step 2: Convert to fraction form
    978,189.90/1,467,284.85 = 978,189.90/x
  3. Step 3: Cross multiply
    978,189.90x = 1,467,284.85 × 978,189.90
  4. Step 4: Simplify right side
    978,189.90x = 1,435,283,220,693.02
  5. Step 5: Solve for x
    x = 1,435,283,220,693.02/978,189.90
  6. Step 6: Final answer
    x = 1,467,284.85

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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.