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Finding the Fourth Proportional to 457,945.60, 686,598.40 and 270,860.80

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Solution

The fourth proportional to 457,945.60, 686,598.40 and 270,860.80 is: 406,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,945.60 : 686,598.40 = 270,860.80 : x
  2. Step 2: Convert to fraction form
    457,945.60/686,598.40 = 270,860.80/x
  3. Step 3: Cross multiply
    457,945.60x = 686,598.40 × 270,860.80
  4. Step 4: Simplify right side
    457,945.60x = 185,972,591,902.72
  5. Step 5: Solve for x
    x = 185,972,591,902.72/457,945.60
  6. Step 6: Final answer
    x = 406,101.93

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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.