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Finding the Fourth Proportional to 520,634.28, 780,268.86 and 296,097.96

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Solution

The fourth proportional to 520,634.28, 780,268.86 and 296,097.96 is: 443,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,634.28 : 780,268.86 = 296,097.96 : x
  2. Step 2: Convert to fraction form
    520,634.28/780,268.86 = 296,097.96/x
  3. Step 3: Cross multiply
    520,634.28x = 780,268.86 × 296,097.96
  4. Step 4: Simplify right side
    520,634.28x = 231,036,017,697.53
  5. Step 5: Solve for x
    x = 231,036,017,697.53/520,634.28
  6. Step 6: Final answer
    x = 443,758.75

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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.