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Finding the Fourth Proportional to 229,377.71, 316,413.65 and 213,140.61

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Solution

The fourth proportional to 229,377.71, 316,413.65 and 213,140.61 is: 294,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,377.71 : 316,413.65 = 213,140.61 : x
  2. Step 2: Convert to fraction form
    229,377.71/316,413.65 = 213,140.61/x
  3. Step 3: Cross multiply
    229,377.71x = 316,413.65 × 213,140.61
  4. Step 4: Simplify right side
    229,377.71x = 67,440,598,906.18
  5. Step 5: Solve for x
    x = 67,440,598,906.18/229,377.71
  6. Step 6: Final answer
    x = 294,015.48

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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.