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Finding the Fourth Proportional to 256,413.60, 384,620.40 and 123,553.35

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Solution

The fourth proportional to 256,413.60, 384,620.40 and 123,553.35 is: 185,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,413.60 : 384,620.40 = 123,553.35 : x
  2. Step 2: Convert to fraction form
    256,413.60/384,620.40 = 123,553.35/x
  3. Step 3: Cross multiply
    256,413.60x = 384,620.40 × 123,553.35
  4. Step 4: Simplify right side
    256,413.60x = 47,521,138,898.34
  5. Step 5: Solve for x
    x = 47,521,138,898.34/256,413.60
  6. Step 6: Final answer
    x = 185,330.03

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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.