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Finding the Fourth Proportional to 259,294.82, 389,305.20 and 133,024.13

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Solution

The fourth proportional to 259,294.82, 389,305.20 and 133,024.13 is: 199,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,294.82 : 389,305.20 = 133,024.13 : x
  2. Step 2: Convert to fraction form
    259,294.82/389,305.20 = 133,024.13/x
  3. Step 3: Cross multiply
    259,294.82x = 389,305.20 × 133,024.13
  4. Step 4: Simplify right side
    259,294.82x = 51,786,985,534.48
  5. Step 5: Solve for x
    x = 51,786,985,534.48/259,294.82
  6. Step 6: Final answer
    x = 199,722.41

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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.