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Finding the Fourth Proportional to 471,328.44, 706,992.66 and 388,047.48

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Solution

The fourth proportional to 471,328.44, 706,992.66 and 388,047.48 is: 582,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,328.44 : 706,992.66 = 388,047.48 : x
  2. Step 2: Convert to fraction form
    471,328.44/706,992.66 = 388,047.48/x
  3. Step 3: Cross multiply
    471,328.44x = 706,992.66 × 388,047.48
  4. Step 4: Simplify right side
    471,328.44x = 274,346,720,091.50
  5. Step 5: Solve for x
    x = 274,346,720,091.50/471,328.44
  6. Step 6: Final answer
    x = 582,071.22

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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.