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Finding the Fourth Proportional to 276,147, 414,225.54 and 86,603.13

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Solution

The fourth proportional to 276,147, 414,225.54 and 86,603.13 is: 129,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,147 : 414,225.54 = 86,603.13 : x
  2. Step 2: Convert to fraction form
    276,147/414,225.54 = 86,603.13/x
  3. Step 3: Cross multiply
    276,147x = 414,225.54 × 86,603.13
  4. Step 4: Simplify right side
    276,147x = 35,873,228,289.94
  5. Step 5: Solve for x
    x = 35,873,228,289.94/276,147
  6. Step 6: Final answer
    x = 129,906.28

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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.