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Finding the Fourth Proportional to 682,117, 941,387.97 and 509,735.64

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Solution

The fourth proportional to 682,117, 941,387.97 and 509,735.64 is: 703,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,117 : 941,387.97 = 509,735.64 : x
  2. Step 2: Convert to fraction form
    682,117/941,387.97 = 509,735.64/x
  3. Step 3: Cross multiply
    682,117x = 941,387.97 × 509,735.64
  4. Step 4: Simplify right side
    682,117x = 479,858,999,376.25
  5. Step 5: Solve for x
    x = 479,858,999,376.25/682,117
  6. Step 6: Final answer
    x = 703,484.89

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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.