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Finding the Fourth Proportional to 520,120.80, 780,181.20 and 444,013.20

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Solution

The fourth proportional to 520,120.80, 780,181.20 and 444,013.20 is: 666,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,120.80 : 780,181.20 = 444,013.20 : x
  2. Step 2: Convert to fraction form
    520,120.80/780,181.20 = 444,013.20/x
  3. Step 3: Cross multiply
    520,120.80x = 780,181.20 × 444,013.20
  4. Step 4: Simplify right side
    520,120.80x = 346,410,751,191.84
  5. Step 5: Solve for x
    x = 346,410,751,191.84/520,120.80
  6. Step 6: Final answer
    x = 666,019.80

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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.