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Finding the Fourth Proportional to 289,539.36, 399,580.74 and 162,255.96

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Solution

The fourth proportional to 289,539.36, 399,580.74 and 162,255.96 is: 223,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,539.36 : 399,580.74 = 162,255.96 : x
  2. Step 2: Convert to fraction form
    289,539.36/399,580.74 = 162,255.96/x
  3. Step 3: Cross multiply
    289,539.36x = 399,580.74 × 162,255.96
  4. Step 4: Simplify right side
    289,539.36x = 64,834,356,566.21
  5. Step 5: Solve for x
    x = 64,834,356,566.21/289,539.36
  6. Step 6: Final answer
    x = 223,922.43

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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.