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Finding the Fourth Proportional to 289,370.34, 399,319.88 and 162,039.42

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Solution

The fourth proportional to 289,370.34, 399,319.88 and 162,039.42 is: 223,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,370.34 : 399,319.88 = 162,039.42 : x
  2. Step 2: Convert to fraction form
    289,370.34/399,319.88 = 162,039.42/x
  3. Step 3: Cross multiply
    289,370.34x = 399,319.88 × 162,039.42
  4. Step 4: Simplify right side
    289,370.34x = 64,705,560,939.47
  5. Step 5: Solve for x
    x = 64,705,560,939.47/289,370.34
  6. Step 6: Final answer
    x = 223,608.13

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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.