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Finding the Fourth Proportional to 305,274.51, 420,912.72 and 197,805.33

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Solution

The fourth proportional to 305,274.51, 420,912.72 and 197,805.33 is: 272,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,274.51 : 420,912.72 = 197,805.33 : x
  2. Step 2: Convert to fraction form
    305,274.51/420,912.72 = 197,805.33/x
  3. Step 3: Cross multiply
    305,274.51x = 420,912.72 × 197,805.33
  4. Step 4: Simplify right side
    305,274.51x = 83,258,779,480.80
  5. Step 5: Solve for x
    x = 83,258,779,480.80/305,274.51
  6. Step 6: Final answer
    x = 272,734.14

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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.