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Finding the Fourth Proportional to 520,059.70, 780,162.45 and 204,443.20

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Solution

The fourth proportional to 520,059.70, 780,162.45 and 204,443.20 is: 306,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,059.70 : 780,162.45 = 204,443.20 : x
  2. Step 2: Convert to fraction form
    520,059.70/780,162.45 = 204,443.20/x
  3. Step 3: Cross multiply
    520,059.70x = 780,162.45 × 204,443.20
  4. Step 4: Simplify right side
    520,059.70x = 159,498,907,797.84
  5. Step 5: Solve for x
    x = 159,498,907,797.84/520,059.70
  6. Step 6: Final answer
    x = 306,693.46

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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.