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Finding the Fourth Proportional to 438,766.88, 658,150.31 and 106,342.88

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Solution

The fourth proportional to 438,766.88, 658,150.31 and 106,342.88 is: 159,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,766.88 : 658,150.31 = 106,342.88 : x
  2. Step 2: Convert to fraction form
    438,766.88/658,150.31 = 106,342.88/x
  3. Step 3: Cross multiply
    438,766.88x = 658,150.31 × 106,342.88
  4. Step 4: Simplify right side
    438,766.88x = 69,989,596,413.40
  5. Step 5: Solve for x
    x = 69,989,596,413.40/438,766.88
  6. Step 6: Final answer
    x = 159,514.31

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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.