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Finding the Fourth Proportional to 580,217, 871,659.66 and 412,145.96

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Solution

The fourth proportional to 580,217, 871,659.66 and 412,145.96 is: 619,166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,217 : 871,659.66 = 412,145.96 : x
  2. Step 2: Convert to fraction form
    580,217/871,659.66 = 412,145.96/x
  3. Step 3: Cross multiply
    580,217x = 871,659.66 × 412,145.96
  4. Step 4: Simplify right side
    580,217x = 359,251,007,363.97
  5. Step 5: Solve for x
    x = 359,251,007,363.97/580,217
  6. Step 6: Final answer
    x = 619,166.63

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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.