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Finding the Fourth Proportional to 359,203.31, 539,015.02 and 199,413.80

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Solution

The fourth proportional to 359,203.31, 539,015.02 and 199,413.80 is: 299,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,203.31 : 539,015.02 = 199,413.80 : x
  2. Step 2: Convert to fraction form
    359,203.31/539,015.02 = 199,413.80/x
  3. Step 3: Cross multiply
    359,203.31x = 539,015.02 × 199,413.80
  4. Step 4: Simplify right side
    359,203.31x = 107,487,030,201.67
  5. Step 5: Solve for x
    x = 107,487,030,201.67/359,203.31
  6. Step 6: Final answer
    x = 299,237.31

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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.