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Finding the Fourth Proportional to 289,738.31, 399,879.86 and 160,705.31

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Solution

The fourth proportional to 289,738.31, 399,879.86 and 160,705.31 is: 221,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,738.31 : 399,879.86 = 160,705.31 : x
  2. Step 2: Convert to fraction form
    289,738.31/399,879.86 = 160,705.31/x
  3. Step 3: Cross multiply
    289,738.31x = 399,879.86 × 160,705.31
  4. Step 4: Simplify right side
    289,738.31x = 64,262,814,061.13
  5. Step 5: Solve for x
    x = 64,262,814,061.13/289,738.31
  6. Step 6: Final answer
    x = 221,796.06

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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.