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Finding the Fourth Proportional to 513,683.37, 708,858.03 and 284,236.49

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Solution

The fourth proportional to 513,683.37, 708,858.03 and 284,236.49 is: 392,232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,683.37 : 708,858.03 = 284,236.49 : x
  2. Step 2: Convert to fraction form
    513,683.37/708,858.03 = 284,236.49/x
  3. Step 3: Cross multiply
    513,683.37x = 708,858.03 × 284,236.49
  4. Step 4: Simplify right side
    513,683.37x = 201,483,321,193.55
  5. Step 5: Solve for x
    x = 201,483,321,193.55/513,683.37
  6. Step 6: Final answer
    x = 392,232.52

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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.