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Finding the Fourth Proportional to 509,318.40, 764,793.60 and 405,004.80

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Solution

The fourth proportional to 509,318.40, 764,793.60 and 405,004.80 is: 608,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,318.40 : 764,793.60 = 405,004.80 : x
  2. Step 2: Convert to fraction form
    509,318.40/764,793.60 = 405,004.80/x
  3. Step 3: Cross multiply
    509,318.40x = 764,793.60 × 405,004.80
  4. Step 4: Simplify right side
    509,318.40x = 309,745,079,009.28
  5. Step 5: Solve for x
    x = 309,745,079,009.28/509,318.40
  6. Step 6: Final answer
    x = 608,156.07

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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.