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Finding the Fourth Proportional to 215,970.54, 298,036.44 and 120,478.83

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Solution

The fourth proportional to 215,970.54, 298,036.44 and 120,478.83 is: 166,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,970.54 : 298,036.44 = 120,478.83 : x
  2. Step 2: Convert to fraction form
    215,970.54/298,036.44 = 120,478.83/x
  3. Step 3: Cross multiply
    215,970.54x = 298,036.44 × 120,478.83
  4. Step 4: Simplify right side
    215,970.54x = 35,907,081,588.57
  5. Step 5: Solve for x
    x = 35,907,081,588.57/215,970.54
  6. Step 6: Final answer
    x = 166,259.16

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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.