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Finding the Fourth Proportional to 520,288.44, 780,538.14 and 295,756.44

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Solution

The fourth proportional to 520,288.44, 780,538.14 and 295,756.44 is: 443,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,288.44 : 780,538.14 = 295,756.44 : x
  2. Step 2: Convert to fraction form
    520,288.44/780,538.14 = 295,756.44/x
  3. Step 3: Cross multiply
    520,288.44x = 780,538.14 × 295,756.44
  4. Step 4: Simplify right side
    520,288.44x = 230,849,181,570.62
  5. Step 5: Solve for x
    x = 230,849,181,570.62/520,288.44
  6. Step 6: Final answer
    x = 443,694.62

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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.