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Finding the Fourth Proportional to 406,481.80, 610,413.90 and 301,419.40

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Solution

The fourth proportional to 406,481.80, 610,413.90 and 301,419.40 is: 452,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,481.80 : 610,413.90 = 301,419.40 : x
  2. Step 2: Convert to fraction form
    406,481.80/610,413.90 = 301,419.40/x
  3. Step 3: Cross multiply
    406,481.80x = 610,413.90 × 301,419.40
  4. Step 4: Simplify right side
    406,481.80x = 183,990,591,489.66
  5. Step 5: Solve for x
    x = 183,990,591,489.66/406,481.80
  6. Step 6: Final answer
    x = 452,641.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.