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Finding the Fourth Proportional to 501,429.96, 691,982.70 and 307,740.60

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Solution

The fourth proportional to 501,429.96, 691,982.70 and 307,740.60 is: 424,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,429.96 : 691,982.70 = 307,740.60 : x
  2. Step 2: Convert to fraction form
    501,429.96/691,982.70 = 307,740.60/x
  3. Step 3: Cross multiply
    501,429.96x = 691,982.70 × 307,740.60
  4. Step 4: Simplify right side
    501,429.96x = 212,951,171,287.62
  5. Step 5: Solve for x
    x = 212,951,171,287.62/501,429.96
  6. Step 6: Final answer
    x = 424,687.77

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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.