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Finding the Fourth Proportional to 343,009.20, 515,896.20 and 307,066.80

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Solution

The fourth proportional to 343,009.20, 515,896.20 and 307,066.80 is: 461,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,009.20 : 515,896.20 = 307,066.80 : x
  2. Step 2: Convert to fraction form
    343,009.20/515,896.20 = 307,066.80/x
  3. Step 3: Cross multiply
    343,009.20x = 515,896.20 × 307,066.80
  4. Step 4: Simplify right side
    343,009.20x = 158,414,595,266.16
  5. Step 5: Solve for x
    x = 158,414,595,266.16/343,009.20
  6. Step 6: Final answer
    x = 461,837.74

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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.