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Finding the Fourth Proportional to 306,643.55, 459,932.97 and 82,026.65

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Solution

The fourth proportional to 306,643.55, 459,932.97 and 82,026.65 is: 123,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,643.55 : 459,932.97 = 82,026.65 : x
  2. Step 2: Convert to fraction form
    306,643.55/459,932.97 = 82,026.65/x
  3. Step 3: Cross multiply
    306,643.55x = 459,932.97 × 82,026.65
  4. Step 4: Simplify right side
    306,643.55x = 37,726,761,903.48
  5. Step 5: Solve for x
    x = 37,726,761,903.48/306,643.55
  6. Step 6: Final answer
    x = 123,031.32

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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.