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Finding the Fourth Proportional to 229,413.06, 316,705.14 and 143,419.82

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Solution

The fourth proportional to 229,413.06, 316,705.14 and 143,419.82 is: 197,991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,413.06 : 316,705.14 = 143,419.82 : x
  2. Step 2: Convert to fraction form
    229,413.06/316,705.14 = 143,419.82/x
  3. Step 3: Cross multiply
    229,413.06x = 316,705.14 × 143,419.82
  4. Step 4: Simplify right side
    229,413.06x = 45,421,792,588.35
  5. Step 5: Solve for x
    x = 45,421,792,588.35/229,413.06
  6. Step 6: Final answer
    x = 197,991.31

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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.