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Finding the Fourth Proportional to 509,300.70, 764,296.65 and 331,374.30

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Solution

The fourth proportional to 509,300.70, 764,296.65 and 331,374.30 is: 497,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,300.70 : 764,296.65 = 331,374.30 : x
  2. Step 2: Convert to fraction form
    509,300.70/764,296.65 = 331,374.30/x
  3. Step 3: Cross multiply
    509,300.70x = 764,296.65 × 331,374.30
  4. Step 4: Simplify right side
    509,300.70x = 253,268,267,386.10
  5. Step 5: Solve for x
    x = 253,268,267,386.10/509,300.70
  6. Step 6: Final answer
    x = 497,286.31

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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.