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Finding the Fourth Proportional to 259,302.40, 388,905.60 and 72,275.20

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Solution

The fourth proportional to 259,302.40, 388,905.60 and 72,275.20 is: 108,399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,302.40 : 388,905.60 = 72,275.20 : x
  2. Step 2: Convert to fraction form
    259,302.40/388,905.60 = 72,275.20/x
  3. Step 3: Cross multiply
    259,302.40x = 388,905.60 × 72,275.20
  4. Step 4: Simplify right side
    259,302.40x = 28,108,230,021.12
  5. Step 5: Solve for x
    x = 28,108,230,021.12/259,302.40
  6. Step 6: Final answer
    x = 108,399.42

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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.