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Finding the Fourth Proportional to 523,822, 722,840.34 and 308,912.80

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Solution

The fourth proportional to 523,822, 722,840.34 and 308,912.80 is: 426,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,822 : 722,840.34 = 308,912.80 : x
  2. Step 2: Convert to fraction form
    523,822/722,840.34 = 308,912.80/x
  3. Step 3: Cross multiply
    523,822x = 722,840.34 × 308,912.80
  4. Step 4: Simplify right side
    523,822x = 223,294,633,382.35
  5. Step 5: Solve for x
    x = 223,294,633,382.35/523,822
  6. Step 6: Final answer
    x = 426,279.60

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1.5x scale

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.