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Finding the Fourth Proportional to 523,435.56, 785,136.60 and 219,990.48

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Solution

The fourth proportional to 523,435.56, 785,136.60 and 219,990.48 is: 329,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,435.56 : 785,136.60 = 219,990.48 : x
  2. Step 2: Convert to fraction form
    523,435.56/785,136.60 = 219,990.48/x
  3. Step 3: Cross multiply
    523,435.56x = 785,136.60 × 219,990.48
  4. Step 4: Simplify right side
    523,435.56x = 172,722,577,499.57
  5. Step 5: Solve for x
    x = 172,722,577,499.57/523,435.56
  6. Step 6: Final answer
    x = 329,978.68

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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.