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Finding the Fourth Proportional to 457,147.60, 685,721.40 and 389,496.40

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Solution

The fourth proportional to 457,147.60, 685,721.40 and 389,496.40 is: 584,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,147.60 : 685,721.40 = 389,496.40 : x
  2. Step 2: Convert to fraction form
    457,147.60/685,721.40 = 389,496.40/x
  3. Step 3: Cross multiply
    457,147.60x = 685,721.40 × 389,496.40
  4. Step 4: Simplify right side
    457,147.60x = 267,086,016,702.96
  5. Step 5: Solve for x
    x = 267,086,016,702.96/457,147.60
  6. Step 6: Final answer
    x = 584,244.60

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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.