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Finding the Fourth Proportional to 216,494.40, 298,763.40 and 120,999.06

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Solution

The fourth proportional to 216,494.40, 298,763.40 and 120,999.06 is: 166,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,494.40 : 298,763.40 = 120,999.06 : x
  2. Step 2: Convert to fraction form
    216,494.40/298,763.40 = 120,999.06/x
  3. Step 3: Cross multiply
    216,494.40x = 298,763.40 × 120,999.06
  4. Step 4: Simplify right side
    216,494.40x = 36,150,090,562.40
  5. Step 5: Solve for x
    x = 36,150,090,562.40/216,494.40
  6. Step 6: Final answer
    x = 166,979.33

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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.