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Finding the Fourth Proportional to 523,814, 722,829.30 and 308,904.80

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Solution

The fourth proportional to 523,814, 722,829.30 and 308,904.80 is: 426,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,814 : 722,829.30 = 308,904.80 : x
  2. Step 2: Convert to fraction form
    523,814/722,829.30 = 308,904.80/x
  3. Step 3: Cross multiply
    523,814x = 722,829.30 × 308,904.80
  4. Step 4: Simplify right side
    523,814x = 223,285,440,350.64
  5. Step 5: Solve for x
    x = 223,285,440,350.64/523,814
  6. Step 6: Final answer
    x = 426,268.56

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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.