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Finding the Fourth Proportional to 228,697.80, 343,046.70 and 148,981.65

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Solution

The fourth proportional to 228,697.80, 343,046.70 and 148,981.65 is: 223,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,697.80 : 343,046.70 = 148,981.65 : x
  2. Step 2: Convert to fraction form
    228,697.80/343,046.70 = 148,981.65/x
  3. Step 3: Cross multiply
    228,697.80x = 343,046.70 × 148,981.65
  4. Step 4: Simplify right side
    228,697.80x = 51,107,663,393.06
  5. Step 5: Solve for x
    x = 51,107,663,393.06/228,697.80
  6. Step 6: Final answer
    x = 223,472.48

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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.