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Finding the Fourth Proportional to 500,591.36, 690,840.96 and 309,704

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Solution

The fourth proportional to 500,591.36, 690,840.96 and 309,704 is: 427,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,591.36 : 690,840.96 = 309,704 : x
  2. Step 2: Convert to fraction form
    500,591.36/690,840.96 = 309,704/x
  3. Step 3: Cross multiply
    500,591.36x = 690,840.96 × 309,704
  4. Step 4: Simplify right side
    500,591.36x = 213,956,208,675.84
  5. Step 5: Solve for x
    x = 213,956,208,675.84/500,591.36
  6. Step 6: Final answer
    x = 427,406.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.