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Finding the Fourth Proportional to 408,858.91, 613,413.95 and 209,319.39

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Solution

The fourth proportional to 408,858.91, 613,413.95 and 209,319.39 is: 314,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,858.91 : 613,413.95 = 209,319.39 : x
  2. Step 2: Convert to fraction form
    408,858.91/613,413.95 = 209,319.39/x
  3. Step 3: Cross multiply
    408,858.91x = 613,413.95 × 209,319.39
  4. Step 4: Simplify right side
    408,858.91x = 128,399,432,784.89
  5. Step 5: Solve for x
    x = 128,399,432,784.89/408,858.91
  6. Step 6: Final answer
    x = 314,043.38

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1.5x scale

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.