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Finding the Fourth Proportional to 216,409.80, 298,643.82 and 120,915.48

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Solution

The fourth proportional to 216,409.80, 298,643.82 and 120,915.48 is: 166,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,409.80 : 298,643.82 = 120,915.48 : x
  2. Step 2: Convert to fraction form
    216,409.80/298,643.82 = 120,915.48/x
  3. Step 3: Cross multiply
    216,409.80x = 298,643.82 × 120,915.48
  4. Step 4: Simplify right side
    216,409.80x = 36,110,660,844.33
  5. Step 5: Solve for x
    x = 36,110,660,844.33/216,409.80
  6. Step 6: Final answer
    x = 166,862.41

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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.