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Finding the Fourth Proportional to 361,877.12, 499,413.30 and 208,943.55

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Solution

The fourth proportional to 361,877.12, 499,413.30 and 208,943.55 is: 288,355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,877.12 : 499,413.30 = 208,943.55 : x
  2. Step 2: Convert to fraction form
    361,877.12/499,413.30 = 208,943.55/x
  3. Step 3: Cross multiply
    361,877.12x = 499,413.30 × 208,943.55
  4. Step 4: Simplify right side
    361,877.12x = 104,349,187,035.68
  5. Step 5: Solve for x
    x = 104,349,187,035.68/361,877.12
  6. Step 6: Final answer
    x = 288,355.31

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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.