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Finding the Fourth Proportional to 400,190.54, 600,135.14 and 163,406.48

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Solution

The fourth proportional to 400,190.54, 600,135.14 and 163,406.48 is: 245,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,190.54 : 600,135.14 = 163,406.48 : x
  2. Step 2: Convert to fraction form
    400,190.54/600,135.14 = 163,406.48/x
  3. Step 3: Cross multiply
    400,190.54x = 600,135.14 × 163,406.48
  4. Step 4: Simplify right side
    400,190.54x = 98,065,970,751.71
  5. Step 5: Solve for x
    x = 98,065,970,751.71/400,190.54
  6. Step 6: Final answer
    x = 245,048.20

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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.