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Finding the Fourth Proportional to 292,978.84, 438,966 and 196,735.68

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Solution

The fourth proportional to 292,978.84, 438,966 and 196,735.68 is: 294,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,978.84 : 438,966 = 196,735.68 : x
  2. Step 2: Convert to fraction form
    292,978.84/438,966 = 196,735.68/x
  3. Step 3: Cross multiply
    292,978.84x = 438,966 × 196,735.68
  4. Step 4: Simplify right side
    292,978.84x = 86,360,274,506.88
  5. Step 5: Solve for x
    x = 86,360,274,506.88/292,978.84
  6. Step 6: Final answer
    x = 294,766.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.