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Finding the Fourth Proportional to 702,102.54, 968,898.57 and 379,811.85

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Solution

The fourth proportional to 702,102.54, 968,898.57 and 379,811.85 is: 524,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,102.54 : 968,898.57 = 379,811.85 : x
  2. Step 2: Convert to fraction form
    702,102.54/968,898.57 = 379,811.85/x
  3. Step 3: Cross multiply
    702,102.54x = 968,898.57 × 379,811.85
  4. Step 4: Simplify right side
    702,102.54x = 367,999,158,334.05
  5. Step 5: Solve for x
    x = 367,999,158,334.05/702,102.54
  6. Step 6: Final answer
    x = 524,138.77

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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.