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Finding the Fourth Proportional to 305,311.16, 421,243.26 and 197,885.72

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Solution

The fourth proportional to 305,311.16, 421,243.26 and 197,885.72 is: 273,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,311.16 : 421,243.26 = 197,885.72 : x
  2. Step 2: Convert to fraction form
    305,311.16/421,243.26 = 197,885.72/x
  3. Step 3: Cross multiply
    305,311.16x = 421,243.26 × 197,885.72
  4. Step 4: Simplify right side
    305,311.16x = 83,358,025,800.25
  5. Step 5: Solve for x
    x = 83,358,025,800.25/305,311.16
  6. Step 6: Final answer
    x = 273,026.46

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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.