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Finding the Fourth Proportional to 457,090.29, 685,815.86 and 141,571.80

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Solution

The fourth proportional to 457,090.29, 685,815.86 and 141,571.80 is: 212,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,090.29 : 685,815.86 = 141,571.80 : x
  2. Step 2: Convert to fraction form
    457,090.29/685,815.86 = 141,571.80/x
  3. Step 3: Cross multiply
    457,090.29x = 685,815.86 × 141,571.80
  4. Step 4: Simplify right side
    457,090.29x = 97,092,186,122.68
  5. Step 5: Solve for x
    x = 97,092,186,122.68/457,090.29
  6. Step 6: Final answer
    x = 212,413.58

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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.