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Finding the Fourth Proportional to 523,651.42, 722,721.05 and 308,815.12

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Solution

The fourth proportional to 523,651.42, 722,721.05 and 308,815.12 is: 426,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,651.42 : 722,721.05 = 308,815.12 : x
  2. Step 2: Convert to fraction form
    523,651.42/722,721.05 = 308,815.12/x
  3. Step 3: Cross multiply
    523,651.42x = 722,721.05 × 308,815.12
  4. Step 4: Simplify right side
    523,651.42x = 223,187,187,782.28
  5. Step 5: Solve for x
    x = 223,187,187,782.28/523,651.42
  6. Step 6: Final answer
    x = 426,213.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.