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Finding the Fourth Proportional to 457,261.76, 685,747.22 and 427,409.60

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Solution

The fourth proportional to 457,261.76, 685,747.22 and 427,409.60 is: 640,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,261.76 : 685,747.22 = 427,409.60 : x
  2. Step 2: Convert to fraction form
    457,261.76/685,747.22 = 427,409.60/x
  3. Step 3: Cross multiply
    457,261.76x = 685,747.22 × 427,409.60
  4. Step 4: Simplify right side
    457,261.76x = 293,094,945,001.31
  5. Step 5: Solve for x
    x = 293,094,945,001.31/457,261.76
  6. Step 6: Final answer
    x = 640,978.47

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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.