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Finding the Fourth Proportional to 401,395.73, 602,097.92 and 120,915.41

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Solution

The fourth proportional to 401,395.73, 602,097.92 and 120,915.41 is: 181,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,395.73 : 602,097.92 = 120,915.41 : x
  2. Step 2: Convert to fraction form
    401,395.73/602,097.92 = 120,915.41/x
  3. Step 3: Cross multiply
    401,395.73x = 602,097.92 × 120,915.41
  4. Step 4: Simplify right side
    401,395.73x = 72,802,916,252.37
  5. Step 5: Solve for x
    x = 72,802,916,252.37/401,395.73
  6. Step 6: Final answer
    x = 181,374.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.