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Finding the Fourth Proportional to 228,570.46, 315,583.10 and 142,563.04

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Solution

The fourth proportional to 228,570.46, 315,583.10 and 142,563.04 is: 196,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,570.46 : 315,583.10 = 142,563.04 : x
  2. Step 2: Convert to fraction form
    228,570.46/315,583.10 = 142,563.04/x
  3. Step 3: Cross multiply
    228,570.46x = 315,583.10 × 142,563.04
  4. Step 4: Simplify right side
    228,570.46x = 44,990,486,108.62
  5. Step 5: Solve for x
    x = 44,990,486,108.62/228,570.46
  6. Step 6: Final answer
    x = 196,834.21

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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.