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Finding the Fourth Proportional to 208,806.39, 313,107.53 and 145,656.78

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Solution

The fourth proportional to 208,806.39, 313,107.53 and 145,656.78 is: 218,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,806.39 : 313,107.53 = 145,656.78 : x
  2. Step 2: Convert to fraction form
    208,806.39/313,107.53 = 145,656.78/x
  3. Step 3: Cross multiply
    208,806.39x = 313,107.53 × 145,656.78
  4. Step 4: Simplify right side
    208,806.39x = 45,606,233,885.27
  5. Step 5: Solve for x
    x = 45,606,233,885.27/208,806.39
  6. Step 6: Final answer
    x = 218,413.98

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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.