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Finding the Fourth Proportional to 508,413.06, 701,609.76 and 278,971.83

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Solution

The fourth proportional to 508,413.06, 701,609.76 and 278,971.83 is: 384,980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,413.06 : 701,609.76 = 278,971.83 : x
  2. Step 2: Convert to fraction form
    508,413.06/701,609.76 = 278,971.83/x
  3. Step 3: Cross multiply
    508,413.06x = 701,609.76 × 278,971.83
  4. Step 4: Simplify right side
    508,413.06x = 195,729,358,693.06
  5. Step 5: Solve for x
    x = 195,729,358,693.06/508,413.06
  6. Step 6: Final answer
    x = 384,980.98

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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.