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Finding the Fourth Proportional to 678,858.86, 936,721.14 and 392,323.64

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Solution

The fourth proportional to 678,858.86, 936,721.14 and 392,323.64 is: 541,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,858.86 : 936,721.14 = 392,323.64 : x
  2. Step 2: Convert to fraction form
    678,858.86/936,721.14 = 392,323.64/x
  3. Step 3: Cross multiply
    678,858.86x = 936,721.14 × 392,323.64
  4. Step 4: Simplify right side
    678,858.86x = 367,497,847,309.75
  5. Step 5: Solve for x
    x = 367,497,847,309.75/678,858.86
  6. Step 6: Final answer
    x = 541,346.47

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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.