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Finding the Fourth Proportional to 332,138, 458,557.80 and 213,113.36

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Solution

The fourth proportional to 332,138, 458,557.80 and 213,113.36 is: 294,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,138 : 458,557.80 = 213,113.36 : x
  2. Step 2: Convert to fraction form
    332,138/458,557.80 = 213,113.36/x
  3. Step 3: Cross multiply
    332,138x = 458,557.80 × 213,113.36
  4. Step 4: Simplify right side
    332,138x = 97,724,793,512.21
  5. Step 5: Solve for x
    x = 97,724,793,512.21/332,138
  6. Step 6: Final answer
    x = 294,229.49

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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.