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Finding the Fourth Proportional to 218,908.44, 302,086.80 and 123,413.76

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Solution

The fourth proportional to 218,908.44, 302,086.80 and 123,413.76 is: 170,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,908.44 : 302,086.80 = 123,413.76 : x
  2. Step 2: Convert to fraction form
    218,908.44/302,086.80 = 123,413.76/x
  3. Step 3: Cross multiply
    218,908.44x = 302,086.80 × 123,413.76
  4. Step 4: Simplify right side
    218,908.44x = 37,281,667,834.37
  5. Step 5: Solve for x
    x = 37,281,667,834.37/218,908.44
  6. Step 6: Final answer
    x = 170,307.13

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1.5x scale

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.