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Finding the Fourth Proportional to 259,448.80, 388,558.80 and 175,890.40

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Solution

The fourth proportional to 259,448.80, 388,558.80 and 175,890.40 is: 263,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,448.80 : 388,558.80 = 175,890.40 : x
  2. Step 2: Convert to fraction form
    259,448.80/388,558.80 = 175,890.40/x
  3. Step 3: Cross multiply
    259,448.80x = 388,558.80 × 175,890.40
  4. Step 4: Simplify right side
    259,448.80x = 68,343,762,755.52
  5. Step 5: Solve for x
    x = 68,343,762,755.52/259,448.80
  6. Step 6: Final answer
    x = 263,419.07

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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.