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Finding the Fourth Proportional to 520,033, 780,049.50 and 126,049

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Solution

The fourth proportional to 520,033, 780,049.50 and 126,049 is: 189,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,033 : 780,049.50 = 126,049 : x
  2. Step 2: Convert to fraction form
    520,033/780,049.50 = 126,049/x
  3. Step 3: Cross multiply
    520,033x = 780,049.50 × 126,049
  4. Step 4: Simplify right side
    520,033x = 98,324,459,425.50
  5. Step 5: Solve for x
    x = 98,324,459,425.50/520,033
  6. Step 6: Final answer
    x = 189,073.50

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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.