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Finding the Fourth Proportional to 580,873.80, 871,310.70 and 381,808.20

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Solution

The fourth proportional to 580,873.80, 871,310.70 and 381,808.20 is: 572,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,873.80 : 871,310.70 = 381,808.20 : x
  2. Step 2: Convert to fraction form
    580,873.80/871,310.70 = 381,808.20/x
  3. Step 3: Cross multiply
    580,873.80x = 871,310.70 × 381,808.20
  4. Step 4: Simplify right side
    580,873.80x = 332,673,570,007.74
  5. Step 5: Solve for x
    x = 332,673,570,007.74/580,873.80
  6. Step 6: Final answer
    x = 572,712.30

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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.