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Finding the Fourth Proportional to 216,338.75, 298,353.55 and 180,160

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Solution

The fourth proportional to 216,338.75, 298,353.55 and 180,160 is: 248,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,338.75 : 298,353.55 = 180,160 : x
  2. Step 2: Convert to fraction form
    216,338.75/298,353.55 = 180,160/x
  3. Step 3: Cross multiply
    216,338.75x = 298,353.55 × 180,160
  4. Step 4: Simplify right side
    216,338.75x = 53,751,374,667.20
  5. Step 5: Solve for x
    x = 53,751,374,667.20/216,338.75
  6. Step 6: Final answer
    x = 248,459.30

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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.