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Finding the Fourth Proportional to 399,770.10, 599,436.45 and 162,845.10

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Solution

The fourth proportional to 399,770.10, 599,436.45 and 162,845.10 is: 244,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,770.10 : 599,436.45 = 162,845.10 : x
  2. Step 2: Convert to fraction form
    399,770.10/599,436.45 = 162,845.10/x
  3. Step 3: Cross multiply
    399,770.10x = 599,436.45 × 162,845.10
  4. Step 4: Simplify right side
    399,770.10x = 97,615,288,643.90
  5. Step 5: Solve for x
    x = 97,615,288,643.90/399,770.10
  6. Step 6: Final answer
    x = 244,178.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.