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Finding the Fourth Proportional to 380,751.10, 570,525.81 and 140,534.37

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Solution

The fourth proportional to 380,751.10, 570,525.81 and 140,534.37 is: 210,579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,751.10 : 570,525.81 = 140,534.37 : x
  2. Step 2: Convert to fraction form
    380,751.10/570,525.81 = 140,534.37/x
  3. Step 3: Cross multiply
    380,751.10x = 570,525.81 × 140,534.37
  4. Step 4: Simplify right side
    380,751.10x = 80,178,485,277.09
  5. Step 5: Solve for x
    x = 80,178,485,277.09/380,751.10
  6. Step 6: Final answer
    x = 210,579.79

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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.