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Finding the Fourth Proportional to 259,877, 389,824.70 and 133,483.08

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Solution

The fourth proportional to 259,877, 389,824.70 and 133,483.08 is: 200,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,877 : 389,824.70 = 133,483.08 : x
  2. Step 2: Convert to fraction form
    259,877/389,824.70 = 133,483.08/x
  3. Step 3: Cross multiply
    259,877x = 389,824.70 × 133,483.08
  4. Step 4: Simplify right side
    259,877x = 52,035,001,616.08
  5. Step 5: Solve for x
    x = 52,035,001,616.08/259,877
  6. Step 6: Final answer
    x = 200,229.35

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1.5x scale

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.