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Finding the Fourth Proportional to 229,413.44, 316,580.32 and 127,445.78

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Solution

The fourth proportional to 229,413.44, 316,580.32 and 127,445.78 is: 175,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,413.44 : 316,580.32 = 127,445.78 : x
  2. Step 2: Convert to fraction form
    229,413.44/316,580.32 = 127,445.78/x
  3. Step 3: Cross multiply
    229,413.44x = 316,580.32 × 127,445.78
  4. Step 4: Simplify right side
    229,413.44x = 40,346,825,815.05
  5. Step 5: Solve for x
    x = 40,346,825,815.05/229,413.44
  6. Step 6: Final answer
    x = 175,869.49

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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.