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Finding the Fourth Proportional to 398,541.85, 597,751.15 and 145,763.23

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Solution

The fourth proportional to 398,541.85, 597,751.15 and 145,763.23 is: 218,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,541.85 : 597,751.15 = 145,763.23 : x
  2. Step 2: Convert to fraction form
    398,541.85/597,751.15 = 145,763.23/x
  3. Step 3: Cross multiply
    398,541.85x = 597,751.15 × 145,763.23
  4. Step 4: Simplify right side
    398,541.85x = 87,130,137,198.33
  5. Step 5: Solve for x
    x = 87,130,137,198.33/398,541.85
  6. Step 6: Final answer
    x = 218,622.30

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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.