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Finding the Fourth Proportional to 229,285, 316,413.30 and 128,683

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Solution

The fourth proportional to 229,285, 316,413.30 and 128,683 is: 177,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,285 : 316,413.30 = 128,683 : x
  2. Step 2: Convert to fraction form
    229,285/316,413.30 = 128,683/x
  3. Step 3: Cross multiply
    229,285x = 316,413.30 × 128,683
  4. Step 4: Simplify right side
    229,285x = 40,717,012,683.90
  5. Step 5: Solve for x
    x = 40,717,012,683.90/229,285
  6. Step 6: Final answer
    x = 177,582.54

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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.