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Finding the Fourth Proportional to 288,436.80, 397,480.44 and 207,711.80

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Solution

The fourth proportional to 288,436.80, 397,480.44 and 207,711.80 is: 286,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,436.80 : 397,480.44 = 207,711.80 : x
  2. Step 2: Convert to fraction form
    288,436.80/397,480.44 = 207,711.80/x
  3. Step 3: Cross multiply
    288,436.80x = 397,480.44 × 207,711.80
  4. Step 4: Simplify right side
    288,436.80x = 82,561,377,657.19
  5. Step 5: Solve for x
    x = 82,561,377,657.19/288,436.80
  6. Step 6: Final answer
    x = 286,237.32

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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.