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Finding the Fourth Proportional to 259,368.96, 389,053.40 and 200,290.80

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Solution

The fourth proportional to 259,368.96, 389,053.40 and 200,290.80 is: 300,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,368.96 : 389,053.40 = 200,290.80 : x
  2. Step 2: Convert to fraction form
    259,368.96/389,053.40 = 200,290.80/x
  3. Step 3: Cross multiply
    259,368.96x = 389,053.40 × 200,290.80
  4. Step 4: Simplify right side
    259,368.96x = 77,923,816,728.72
  5. Step 5: Solve for x
    x = 77,923,816,728.72/259,368.96
  6. Step 6: Final answer
    x = 300,436.17

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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.