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Finding the Fourth Proportional to 288,052.20, 432,078.30 and 259,021.80

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Solution

The fourth proportional to 288,052.20, 432,078.30 and 259,021.80 is: 388,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,052.20 : 432,078.30 = 259,021.80 : x
  2. Step 2: Convert to fraction form
    288,052.20/432,078.30 = 259,021.80/x
  3. Step 3: Cross multiply
    288,052.20x = 432,078.30 × 259,021.80
  4. Step 4: Simplify right side
    288,052.20x = 111,917,699,006.94
  5. Step 5: Solve for x
    x = 111,917,699,006.94/288,052.20
  6. Step 6: Final answer
    x = 388,532.70

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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.