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Finding the Fourth Proportional to 289,670.37, 399,723.12 and 162,321.36

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Solution

The fourth proportional to 289,670.37, 399,723.12 and 162,321.36 is: 223,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,670.37 : 399,723.12 = 162,321.36 : x
  2. Step 2: Convert to fraction form
    289,670.37/399,723.12 = 162,321.36/x
  3. Step 3: Cross multiply
    289,670.37x = 399,723.12 × 162,321.36
  4. Step 4: Simplify right side
    289,670.37x = 64,883,600,461.84
  5. Step 5: Solve for x
    x = 64,883,600,461.84/289,670.37
  6. Step 6: Final answer
    x = 223,991.15

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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.