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Finding the Fourth Proportional to 208,734.92, 288,258.82 and 144,369.08

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Solution

The fourth proportional to 208,734.92, 288,258.82 and 144,369.08 is: 199,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,734.92 : 288,258.82 = 144,369.08 : x
  2. Step 2: Convert to fraction form
    208,734.92/288,258.82 = 144,369.08/x
  3. Step 3: Cross multiply
    208,734.92x = 288,258.82 × 144,369.08
  4. Step 4: Simplify right side
    208,734.92x = 41,615,660,645.29
  5. Step 5: Solve for x
    x = 41,615,660,645.29/208,734.92
  6. Step 6: Final answer
    x = 199,370.86

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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.