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Finding the Fourth Proportional to 678,841.63, 936,771.14 and 407,059.49

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Solution

The fourth proportional to 678,841.63, 936,771.14 and 407,059.49 is: 561,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,841.63 : 936,771.14 = 407,059.49 : x
  2. Step 2: Convert to fraction form
    678,841.63/936,771.14 = 407,059.49/x
  3. Step 3: Cross multiply
    678,841.63x = 936,771.14 × 407,059.49
  4. Step 4: Simplify right side
    678,841.63x = 381,321,585,854.70
  5. Step 5: Solve for x
    x = 381,321,585,854.70/678,841.63
  6. Step 6: Final answer
    x = 561,723.93

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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.