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Finding the Fourth Proportional to 343,739.20, 514,150.80 and 308,455.60

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Solution

The fourth proportional to 343,739.20, 514,150.80 and 308,455.60 is: 461,375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,739.20 : 514,150.80 = 308,455.60 : x
  2. Step 2: Convert to fraction form
    343,739.20/514,150.80 = 308,455.60/x
  3. Step 3: Cross multiply
    343,739.20x = 514,150.80 × 308,455.60
  4. Step 4: Simplify right side
    343,739.20x = 158,592,693,504.48
  5. Step 5: Solve for x
    x = 158,592,693,504.48/343,739.20
  6. Step 6: Final answer
    x = 461,375.06

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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.