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Finding the Fourth Proportional to 400,023.63, 599,968.26 and 133,783.74

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Solution

The fourth proportional to 400,023.63, 599,968.26 and 133,783.74 is: 200,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,023.63 : 599,968.26 = 133,783.74 : x
  2. Step 2: Convert to fraction form
    400,023.63/599,968.26 = 133,783.74/x
  3. Step 3: Cross multiply
    400,023.63x = 599,968.26 × 133,783.74
  4. Step 4: Simplify right side
    400,023.63x = 80,265,997,704.09
  5. Step 5: Solve for x
    x = 80,265,997,704.09/400,023.63
  6. Step 6: Final answer
    x = 200,653.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.