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Finding the Fourth Proportional to 729,903, 1,007,710.86 and 500,836.62

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Solution

The fourth proportional to 729,903, 1,007,710.86 and 500,836.62 is: 691,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,903 : 1,007,710.86 = 500,836.62 : x
  2. Step 2: Convert to fraction form
    729,903/1,007,710.86 = 500,836.62/x
  3. Step 3: Cross multiply
    729,903x = 1,007,710.86 × 500,836.62
  4. Step 4: Simplify right side
    729,903x = 504,698,501,059.69
  5. Step 5: Solve for x
    x = 504,698,501,059.69/729,903
  6. Step 6: Final answer
    x = 691,459.69

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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.