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Finding the Fourth Proportional to 443,779.12, 665,834.96 and 230,413.84

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Solution

The fourth proportional to 443,779.12, 665,834.96 and 230,413.84 is: 345,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,779.12 : 665,834.96 = 230,413.84 : x
  2. Step 2: Convert to fraction form
    443,779.12/665,834.96 = 230,413.84/x
  3. Step 3: Cross multiply
    443,779.12x = 665,834.96 × 230,413.84
  4. Step 4: Simplify right side
    443,779.12x = 153,417,589,939.85
  5. Step 5: Solve for x
    x = 153,417,589,939.85/443,779.12
  6. Step 6: Final answer
    x = 345,707.09

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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.