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Finding the Fourth Proportional to 224,388, 309,655.03 and 122,413.47

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Solution

The fourth proportional to 224,388, 309,655.03 and 122,413.47 is: 168,930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,388 : 309,655.03 = 122,413.47 : x
  2. Step 2: Convert to fraction form
    224,388/309,655.03 = 122,413.47/x
  3. Step 3: Cross multiply
    224,388x = 309,655.03 × 122,413.47
  4. Step 4: Simplify right side
    224,388x = 37,905,946,725.25
  5. Step 5: Solve for x
    x = 37,905,946,725.25/224,388
  6. Step 6: Final answer
    x = 168,930.36

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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.