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Finding the Fourth Proportional to 298,730.63, 412,059.89 and 177,781.64

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Solution

The fourth proportional to 298,730.63, 412,059.89 and 177,781.64 is: 245,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,730.63 : 412,059.89 = 177,781.64 : x
  2. Step 2: Convert to fraction form
    298,730.63/412,059.89 = 177,781.64/x
  3. Step 3: Cross multiply
    298,730.63x = 412,059.89 × 177,781.64
  4. Step 4: Simplify right side
    298,730.63x = 73,256,681,406.57
  5. Step 5: Solve for x
    x = 73,256,681,406.57/298,730.63
  6. Step 6: Final answer
    x = 245,226.55

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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.