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Finding the Fourth Proportional to 343,005.20, 515,890.20 and 307,062.80

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Solution

The fourth proportional to 343,005.20, 515,890.20 and 307,062.80 is: 461,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,005.20 : 515,890.20 = 307,062.80 : x
  2. Step 2: Convert to fraction form
    343,005.20/515,890.20 = 307,062.80/x
  3. Step 3: Cross multiply
    343,005.20x = 515,890.20 × 307,062.80
  4. Step 4: Simplify right side
    343,005.20x = 158,410,689,304.56
  5. Step 5: Solve for x
    x = 158,410,689,304.56/343,005.20
  6. Step 6: Final answer
    x = 461,831.74

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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.