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Finding the Fourth Proportional to 228,565.08, 315,382.32 and 143,622

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Solution

The fourth proportional to 228,565.08, 315,382.32 and 143,622 is: 198,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,565.08 : 315,382.32 = 143,622 : x
  2. Step 2: Convert to fraction form
    228,565.08/315,382.32 = 143,622/x
  3. Step 3: Cross multiply
    228,565.08x = 315,382.32 × 143,622
  4. Step 4: Simplify right side
    228,565.08x = 45,295,839,563.04
  5. Step 5: Solve for x
    x = 45,295,839,563.04/228,565.08
  6. Step 6: Final answer
    x = 198,174.80

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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.