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Finding the Fourth Proportional to 678,856.86, 936,718.38 and 392,321.64

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Solution

The fourth proportional to 678,856.86, 936,718.38 and 392,321.64 is: 541,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,856.86 : 936,718.38 = 392,321.64 : x
  2. Step 2: Convert to fraction form
    678,856.86/936,718.38 = 392,321.64/x
  3. Step 3: Cross multiply
    678,856.86x = 936,718.38 × 392,321.64
  4. Step 4: Simplify right side
    678,856.86x = 367,494,891,059.74
  5. Step 5: Solve for x
    x = 367,494,891,059.74/678,856.86
  6. Step 6: Final answer
    x = 541,343.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.