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Finding the Fourth Proportional to 306,643.74, 459,933.26 and 82,026.86

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Solution

The fourth proportional to 306,643.74, 459,933.26 and 82,026.86 is: 123,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,643.74 : 459,933.26 = 82,026.86 : x
  2. Step 2: Convert to fraction form
    306,643.74/459,933.26 = 82,026.86/x
  3. Step 3: Cross multiply
    306,643.74x = 459,933.26 × 82,026.86
  4. Step 4: Simplify right side
    306,643.74x = 37,726,878,417.56
  5. Step 5: Solve for x
    x = 37,726,878,417.56/306,643.74
  6. Step 6: Final answer
    x = 123,031.63

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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.