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Finding the Fourth Proportional to 624,615.23, 861,971.81 and 338,135.31

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Solution

The fourth proportional to 624,615.23, 861,971.81 and 338,135.31 is: 466,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,615.23 : 861,971.81 = 338,135.31 : x
  2. Step 2: Convert to fraction form
    624,615.23/861,971.81 = 338,135.31/x
  3. Step 3: Cross multiply
    624,615.23x = 861,971.81 × 338,135.31
  4. Step 4: Simplify right side
    624,615.23x = 291,463,105,185.61
  5. Step 5: Solve for x
    x = 291,463,105,185.61/624,615.23
  6. Step 6: Final answer
    x = 466,628.24

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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.