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Finding the Fourth Proportional to 1,301,194.06, 1,795,647.54 and 728,234.20

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Solution

The fourth proportional to 1,301,194.06, 1,795,647.54 and 728,234.20 is: 1,004,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,194.06 : 1,795,647.54 = 728,234.20 : x
  2. Step 2: Convert to fraction form
    1,301,194.06/1,795,647.54 = 728,234.20/x
  3. Step 3: Cross multiply
    1,301,194.06x = 1,795,647.54 × 728,234.20
  4. Step 4: Simplify right side
    1,301,194.06x = 1,307,651,949,773.87
  5. Step 5: Solve for x
    x = 1,307,651,949,773.87/1,301,194.06
  6. Step 6: Final answer
    x = 1,004,963.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.