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Finding the Fourth Proportional to 538,104.98, 742,637.28 and 401,902.49

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Solution

The fourth proportional to 538,104.98, 742,637.28 and 401,902.49 is: 554,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,104.98 : 742,637.28 = 401,902.49 : x
  2. Step 2: Convert to fraction form
    538,104.98/742,637.28 = 401,902.49/x
  3. Step 3: Cross multiply
    538,104.98x = 742,637.28 × 401,902.49
  4. Step 4: Simplify right side
    538,104.98x = 298,467,768,285.64
  5. Step 5: Solve for x
    x = 298,467,768,285.64/538,104.98
  6. Step 6: Final answer
    x = 554,664.58

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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.