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Finding the Fourth Proportional to 259,509.36, 389,212.16 and 72,522.48

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Solution

The fourth proportional to 259,509.36, 389,212.16 and 72,522.48 is: 108,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,509.36 : 389,212.16 = 72,522.48 : x
  2. Step 2: Convert to fraction form
    259,509.36/389,212.16 = 72,522.48/x
  3. Step 3: Cross multiply
    259,509.36x = 389,212.16 × 72,522.48
  4. Step 4: Simplify right side
    259,509.36x = 28,226,631,089.36
  5. Step 5: Solve for x
    x = 28,226,631,089.36/259,509.36
  6. Step 6: Final answer
    x = 108,769.22

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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.