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Finding the Fourth Proportional to 315,362.28, 435,205.22 and 181,256.68

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Solution

The fourth proportional to 315,362.28, 435,205.22 and 181,256.68 is: 250,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,362.28 : 435,205.22 = 181,256.68 : x
  2. Step 2: Convert to fraction form
    315,362.28/435,205.22 = 181,256.68/x
  3. Step 3: Cross multiply
    315,362.28x = 435,205.22 × 181,256.68
  4. Step 4: Simplify right side
    315,362.28x = 78,883,853,295.87
  5. Step 5: Solve for x
    x = 78,883,853,295.87/315,362.28
  6. Step 6: Final answer
    x = 250,137.25

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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.