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Finding the Fourth Proportional to 219,258.64, 302,324.70 and 161,980.84

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Solution

The fourth proportional to 219,258.64, 302,324.70 and 161,980.84 is: 223,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,258.64 : 302,324.70 = 161,980.84 : x
  2. Step 2: Convert to fraction form
    219,258.64/302,324.70 = 161,980.84/x
  3. Step 3: Cross multiply
    219,258.64x = 302,324.70 × 161,980.84
  4. Step 4: Simplify right side
    219,258.64x = 48,970,808,858.75
  5. Step 5: Solve for x
    x = 48,970,808,858.75/219,258.64
  6. Step 6: Final answer
    x = 223,347.23

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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.