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Finding the Fourth Proportional to 520,027, 780,040.50 and 126,043

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Solution

The fourth proportional to 520,027, 780,040.50 and 126,043 is: 189,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,027 : 780,040.50 = 126,043 : x
  2. Step 2: Convert to fraction form
    520,027/780,040.50 = 126,043/x
  3. Step 3: Cross multiply
    520,027x = 780,040.50 × 126,043
  4. Step 4: Simplify right side
    520,027x = 98,318,644,741.50
  5. Step 5: Solve for x
    x = 98,318,644,741.50/520,027
  6. Step 6: Final answer
    x = 189,064.50

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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.