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Finding the Fourth Proportional to 820,433.08, 1,230,779.76 and 347,122

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Solution

The fourth proportional to 820,433.08, 1,230,779.76 and 347,122 is: 520,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,433.08 : 1,230,779.76 = 347,122 : x
  2. Step 2: Convert to fraction form
    820,433.08/1,230,779.76 = 347,122/x
  3. Step 3: Cross multiply
    820,433.08x = 1,230,779.76 × 347,122
  4. Step 4: Simplify right side
    820,433.08x = 427,230,731,850.72
  5. Step 5: Solve for x
    x = 427,230,731,850.72/820,433.08
  6. Step 6: Final answer
    x = 520,738.06

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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.