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Finding the Fourth Proportional to 493,968.33, 681,638.63 and 300,349.14

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Solution

The fourth proportional to 493,968.33, 681,638.63 and 300,349.14 is: 414,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,968.33 : 681,638.63 = 300,349.14 : x
  2. Step 2: Convert to fraction form
    493,968.33/681,638.63 = 300,349.14/x
  3. Step 3: Cross multiply
    493,968.33x = 681,638.63 × 300,349.14
  4. Step 4: Simplify right side
    493,968.33x = 204,729,574,809.53
  5. Step 5: Solve for x
    x = 204,729,574,809.53/493,968.33
  6. Step 6: Final answer
    x = 414,458.91

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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.