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Finding the Fourth Proportional to 580,865.60, 871,298.40 and 438,939.20

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Solution

The fourth proportional to 580,865.60, 871,298.40 and 438,939.20 is: 658,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,865.60 : 871,298.40 = 438,939.20 : x
  2. Step 2: Convert to fraction form
    580,865.60/871,298.40 = 438,939.20/x
  3. Step 3: Cross multiply
    580,865.60x = 871,298.40 × 438,939.20
  4. Step 4: Simplify right side
    580,865.60x = 382,447,022,657.28
  5. Step 5: Solve for x
    x = 382,447,022,657.28/580,865.60
  6. Step 6: Final answer
    x = 658,408.80

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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.