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Finding the Fourth Proportional to 659,413.26, 909,990.81 and 357,607.26

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Solution

The fourth proportional to 659,413.26, 909,990.81 and 357,607.26 is: 493,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,413.26 : 909,990.81 = 357,607.26 : x
  2. Step 2: Convert to fraction form
    659,413.26/909,990.81 = 357,607.26/x
  3. Step 3: Cross multiply
    659,413.26x = 909,990.81 × 357,607.26
  4. Step 4: Simplify right side
    659,413.26x = 325,419,320,189.28
  5. Step 5: Solve for x
    x = 325,419,320,189.28/659,413.26
  6. Step 6: Final answer
    x = 493,498.30

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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.