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Finding the Fourth Proportional to 520,011, 780,016.50 and 126,027

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Solution

The fourth proportional to 520,011, 780,016.50 and 126,027 is: 189,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,011 : 780,016.50 = 126,027 : x
  2. Step 2: Convert to fraction form
    520,011/780,016.50 = 126,027/x
  3. Step 3: Cross multiply
    520,011x = 780,016.50 × 126,027
  4. Step 4: Simplify right side
    520,011x = 98,303,139,445.50
  5. Step 5: Solve for x
    x = 98,303,139,445.50/520,011
  6. Step 6: Final answer
    x = 189,040.50

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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.