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Finding the Fourth Proportional to 500,903.76, 691,318.04 and 309,978.64

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Solution

The fourth proportional to 500,903.76, 691,318.04 and 309,978.64 is: 427,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,903.76 : 691,318.04 = 309,978.64 : x
  2. Step 2: Convert to fraction form
    500,903.76/691,318.04 = 309,978.64/x
  3. Step 3: Cross multiply
    500,903.76x = 691,318.04 × 309,978.64
  4. Step 4: Simplify right side
    500,903.76x = 214,293,825,846.67
  5. Step 5: Solve for x
    x = 214,293,825,846.67/500,903.76
  6. Step 6: Final answer
    x = 427,814.37

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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.