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Finding the Fourth Proportional to 678,791.69, 936,702.24 and 407,009.60

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Solution

The fourth proportional to 678,791.69, 936,702.24 and 407,009.60 is: 561,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,791.69 : 936,702.24 = 407,009.60 : x
  2. Step 2: Convert to fraction form
    678,791.69/936,702.24 = 407,009.60/x
  3. Step 3: Cross multiply
    678,791.69x = 936,702.24 × 407,009.60
  4. Step 4: Simplify right side
    678,791.69x = 381,246,804,021.50
  5. Step 5: Solve for x
    x = 381,246,804,021.50/678,791.69
  6. Step 6: Final answer
    x = 561,655.08

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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.