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Finding the Fourth Proportional to 281,402.71, 388,676.55 and 204,800.34

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Solution

The fourth proportional to 281,402.71, 388,676.55 and 204,800.34 is: 282,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,402.71 : 388,676.55 = 204,800.34 : x
  2. Step 2: Convert to fraction form
    281,402.71/388,676.55 = 204,800.34/x
  3. Step 3: Cross multiply
    281,402.71x = 388,676.55 × 204,800.34
  4. Step 4: Simplify right side
    281,402.71x = 79,601,089,590.03
  5. Step 5: Solve for x
    x = 79,601,089,590.03/281,402.71
  6. Step 6: Final answer
    x = 282,872.51

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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.