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Finding the Fourth Proportional to 465,998.31, 643,064.67 and 282,345.62

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Solution

The fourth proportional to 465,998.31, 643,064.67 and 282,345.62 is: 389,629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,998.31 : 643,064.67 = 282,345.62 : x
  2. Step 2: Convert to fraction form
    465,998.31/643,064.67 = 282,345.62/x
  3. Step 3: Cross multiply
    465,998.31x = 643,064.67 × 282,345.62
  4. Step 4: Simplify right side
    465,998.31x = 181,566,489,735.92
  5. Step 5: Solve for x
    x = 181,566,489,735.92/465,998.31
  6. Step 6: Final answer
    x = 389,629.07

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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.