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Finding the Fourth Proportional to 702,976.32, 970,099.74 and 397,053.29

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Solution

The fourth proportional to 702,976.32, 970,099.74 and 397,053.29 is: 547,929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,976.32 : 970,099.74 = 397,053.29 : x
  2. Step 2: Convert to fraction form
    702,976.32/970,099.74 = 397,053.29/x
  3. Step 3: Cross multiply
    702,976.32x = 970,099.74 × 397,053.29
  4. Step 4: Simplify right side
    702,976.32x = 385,181,295,820.39
  5. Step 5: Solve for x
    x = 385,181,295,820.39/702,976.32
  6. Step 6: Final answer
    x = 547,929.26

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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.