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Finding the Fourth Proportional to 219,016.40, 302,242.62 and 118,414.40

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Solution

The fourth proportional to 219,016.40, 302,242.62 and 118,414.40 is: 163,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,016.40 : 302,242.62 = 118,414.40 : x
  2. Step 2: Convert to fraction form
    219,016.40/302,242.62 = 118,414.40/x
  3. Step 3: Cross multiply
    219,016.40x = 302,242.62 × 118,414.40
  4. Step 4: Simplify right side
    219,016.40x = 35,789,876,990.51
  5. Step 5: Solve for x
    x = 35,789,876,990.51/219,016.40
  6. Step 6: Final answer
    x = 163,411.86

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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.