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Finding the Fourth Proportional to 298,734.68, 412,165.42 and 177,779

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Solution

The fourth proportional to 298,734.68, 412,165.42 and 177,779 is: 245,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,734.68 : 412,165.42 = 177,779 : x
  2. Step 2: Convert to fraction form
    298,734.68/412,165.42 = 177,779/x
  3. Step 3: Cross multiply
    298,734.68x = 412,165.42 × 177,779
  4. Step 4: Simplify right side
    298,734.68x = 73,274,356,202.18
  5. Step 5: Solve for x
    x = 73,274,356,202.18/298,734.68
  6. Step 6: Final answer
    x = 245,282.39

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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.