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Finding the Fourth Proportional to 379,258.50, 523,392.63 and 218,113.67

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Solution

The fourth proportional to 379,258.50, 523,392.63 and 218,113.67 is: 301,006.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,258.50 : 523,392.63 = 218,113.67 : x
  2. Step 2: Convert to fraction form
    379,258.50/523,392.63 = 218,113.67/x
  3. Step 3: Cross multiply
    379,258.50x = 523,392.63 × 218,113.67
  4. Step 4: Simplify right side
    379,258.50x = 114,159,086,289.68
  5. Step 5: Solve for x
    x = 114,159,086,289.68/379,258.50
  6. Step 6: Final answer
    x = 301,006.01

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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.