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Finding the Fourth Proportional to 540,493.92, 745,858.08 and 298,764

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Solution

The fourth proportional to 540,493.92, 745,858.08 and 298,764 is: 412,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,493.92 : 745,858.08 = 298,764 : x
  2. Step 2: Convert to fraction form
    540,493.92/745,858.08 = 298,764/x
  3. Step 3: Cross multiply
    540,493.92x = 745,858.08 × 298,764
  4. Step 4: Simplify right side
    540,493.92x = 222,835,543,413.12
  5. Step 5: Solve for x
    x = 222,835,543,413.12/540,493.92
  6. Step 6: Final answer
    x = 412,281.31

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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.