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Finding the Fourth Proportional to 465,837.39, 642,840.60 and 261,896.88

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Solution

The fourth proportional to 465,837.39, 642,840.60 and 261,896.88 is: 361,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,837.39 : 642,840.60 = 261,896.88 : x
  2. Step 2: Convert to fraction form
    465,837.39/642,840.60 = 261,896.88/x
  3. Step 3: Cross multiply
    465,837.39x = 642,840.60 × 261,896.88
  4. Step 4: Simplify right side
    465,837.39x = 168,357,944,263.13
  5. Step 5: Solve for x
    x = 168,357,944,263.13/465,837.39
  6. Step 6: Final answer
    x = 361,409.25

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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.