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Finding the Fourth Proportional to 522,080.40, 782,083.80 and 311,091.60

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Solution

The fourth proportional to 522,080.40, 782,083.80 and 311,091.60 is: 466,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,080.40 : 782,083.80 = 311,091.60 : x
  2. Step 2: Convert to fraction form
    522,080.40/782,083.80 = 311,091.60/x
  3. Step 3: Cross multiply
    522,080.40x = 782,083.80 × 311,091.60
  4. Step 4: Simplify right side
    522,080.40x = 243,299,700,676.08
  5. Step 5: Solve for x
    x = 243,299,700,676.08/522,080.40
  6. Step 6: Final answer
    x = 466,019.60

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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.