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Finding the Fourth Proportional to 945,930, 1,305,410.92 and 516,237.82

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Solution

The fourth proportional to 945,930, 1,305,410.92 and 516,237.82 is: 712,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,930 : 1,305,410.92 = 516,237.82 : x
  2. Step 2: Convert to fraction form
    945,930/1,305,410.92 = 516,237.82/x
  3. Step 3: Cross multiply
    945,930x = 1,305,410.92 × 516,237.82
  4. Step 4: Simplify right side
    945,930x = 673,902,487,544.99
  5. Step 5: Solve for x
    x = 673,902,487,544.99/945,930
  6. Step 6: Final answer
    x = 712,423.21

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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.