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Finding the Fourth Proportional to 580,826.90, 871,208.91 and 181,421.78

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Solution

The fourth proportional to 580,826.90, 871,208.91 and 181,421.78 is: 272,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,826.90 : 871,208.91 = 181,421.78 : x
  2. Step 2: Convert to fraction form
    580,826.90/871,208.91 = 181,421.78/x
  3. Step 3: Cross multiply
    580,826.90x = 871,208.91 × 181,421.78
  4. Step 4: Simplify right side
    580,826.90x = 158,056,271,204.06
  5. Step 5: Solve for x
    x = 158,056,271,204.06/580,826.90
  6. Step 6: Final answer
    x = 272,122.85

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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.