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Finding the Fourth Proportional to 216,270.78, 298,410.39 and 120,762.78

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Solution

The fourth proportional to 216,270.78, 298,410.39 and 120,762.78 is: 166,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,270.78 : 298,410.39 = 120,762.78 : x
  2. Step 2: Convert to fraction form
    216,270.78/298,410.39 = 120,762.78/x
  3. Step 3: Cross multiply
    216,270.78x = 298,410.39 × 120,762.78
  4. Step 4: Simplify right side
    216,270.78x = 36,036,868,277.28
  5. Step 5: Solve for x
    x = 36,036,868,277.28/216,270.78
  6. Step 6: Final answer
    x = 166,628.47

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1.5x scale

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.