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Finding the Fourth Proportional to 306,643.40, 459,932.74 and 82,026.50

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Solution

The fourth proportional to 306,643.40, 459,932.74 and 82,026.50 is: 123,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,643.40 : 459,932.74 = 82,026.50 : x
  2. Step 2: Convert to fraction form
    306,643.40/459,932.74 = 82,026.50/x
  3. Step 3: Cross multiply
    306,643.40x = 459,932.74 × 82,026.50
  4. Step 4: Simplify right side
    306,643.40x = 37,726,672,487.48
  5. Step 5: Solve for x
    x = 37,726,672,487.48/306,643.40
  6. Step 6: Final answer
    x = 123,031.09

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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.