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Finding the Fourth Proportional to 228,972.80, 343,459.20 and 149,256.65

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Solution

The fourth proportional to 228,972.80, 343,459.20 and 149,256.65 is: 223,884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,972.80 : 343,459.20 = 149,256.65 : x
  2. Step 2: Convert to fraction form
    228,972.80/343,459.20 = 149,256.65/x
  3. Step 3: Cross multiply
    228,972.80x = 343,459.20 × 149,256.65
  4. Step 4: Simplify right side
    228,972.80x = 51,263,569,603.68
  5. Step 5: Solve for x
    x = 51,263,569,603.68/228,972.80
  6. Step 6: Final answer
    x = 223,884.98

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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.