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Finding the Fourth Proportional to 538,136.27, 742,600.62 and 296,413.64

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Solution

The fourth proportional to 538,136.27, 742,600.62 and 296,413.64 is: 409,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,136.27 : 742,600.62 = 296,413.64 : x
  2. Step 2: Convert to fraction form
    538,136.27/742,600.62 = 296,413.64/x
  3. Step 3: Cross multiply
    538,136.27x = 742,600.62 × 296,413.64
  4. Step 4: Simplify right side
    538,136.27x = 220,116,952,840.46
  5. Step 5: Solve for x
    x = 220,116,952,840.46/538,136.27
  6. Step 6: Final answer
    x = 409,035.71

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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.