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Finding the Fourth Proportional to 580,873.60, 871,310.40 and 438,947.20

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Solution

The fourth proportional to 580,873.60, 871,310.40 and 438,947.20 is: 658,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,873.60 : 871,310.40 = 438,947.20 : x
  2. Step 2: Convert to fraction form
    580,873.60/871,310.40 = 438,947.20/x
  3. Step 3: Cross multiply
    580,873.60x = 871,310.40 × 438,947.20
  4. Step 4: Simplify right side
    580,873.60x = 382,459,260,410.88
  5. Step 5: Solve for x
    x = 382,459,260,410.88/580,873.60
  6. Step 6: Final answer
    x = 658,420.80

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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.