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Finding the Fourth Proportional to 259,496.80, 388,630.80 and 175,938.40

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Solution

The fourth proportional to 259,496.80, 388,630.80 and 175,938.40 is: 263,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,496.80 : 388,630.80 = 175,938.40 : x
  2. Step 2: Convert to fraction form
    259,496.80/388,630.80 = 175,938.40/x
  3. Step 3: Cross multiply
    259,496.80x = 388,630.80 × 175,938.40
  4. Step 4: Simplify right side
    259,496.80x = 68,375,081,142.72
  5. Step 5: Solve for x
    x = 68,375,081,142.72/259,496.80
  6. Step 6: Final answer
    x = 263,491.04

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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.