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Finding the Fourth Proportional to 565,396.86, 847,701.63 and 210,315.54

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Solution

The fourth proportional to 565,396.86, 847,701.63 and 210,315.54 is: 315,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,396.86 : 847,701.63 = 210,315.54 : x
  2. Step 2: Convert to fraction form
    565,396.86/847,701.63 = 210,315.54/x
  3. Step 3: Cross multiply
    565,396.86x = 847,701.63 × 210,315.54
  4. Step 4: Simplify right side
    565,396.86x = 178,284,826,072.33
  5. Step 5: Solve for x
    x = 178,284,826,072.33/565,396.86
  6. Step 6: Final answer
    x = 315,326.88

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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.