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Finding the Fourth Proportional to 228,698.80, 343,048.20 and 148,982.65

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Solution

The fourth proportional to 228,698.80, 343,048.20 and 148,982.65 is: 223,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,698.80 : 343,048.20 = 148,982.65 : x
  2. Step 2: Convert to fraction form
    228,698.80/343,048.20 = 148,982.65/x
  3. Step 3: Cross multiply
    228,698.80x = 343,048.20 × 148,982.65
  4. Step 4: Simplify right side
    228,698.80x = 51,108,229,913.73
  5. Step 5: Solve for x
    x = 51,108,229,913.73/228,698.80
  6. Step 6: Final answer
    x = 223,473.98

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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.