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Finding the Fourth Proportional to 408,413.28, 612,087.48 and 208,565.22

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Solution

The fourth proportional to 408,413.28, 612,087.48 and 208,565.22 is: 312,575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,413.28 : 612,087.48 = 208,565.22 : x
  2. Step 2: Convert to fraction form
    408,413.28/612,087.48 = 208,565.22/x
  3. Step 3: Cross multiply
    408,413.28x = 612,087.48 × 208,565.22
  4. Step 4: Simplify right side
    408,413.28x = 127,660,159,925.45
  5. Step 5: Solve for x
    x = 127,660,159,925.45/408,413.28
  6. Step 6: Final answer
    x = 312,575.93

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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.