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Finding the Fourth Proportional to 259,596.90, 389,504.70 and 141,353.10

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Solution

The fourth proportional to 259,596.90, 389,504.70 and 141,353.10 is: 212,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,596.90 : 389,504.70 = 141,353.10 : x
  2. Step 2: Convert to fraction form
    259,596.90/389,504.70 = 141,353.10/x
  3. Step 3: Cross multiply
    259,596.90x = 389,504.70 × 141,353.10
  4. Step 4: Simplify right side
    259,596.90x = 55,057,696,809.57
  5. Step 5: Solve for x
    x = 55,057,696,809.57/259,596.90
  6. Step 6: Final answer
    x = 212,089.19

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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.