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Finding the Fourth Proportional to 523,713.76, 722,755.96 and 394,424.20

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Solution

The fourth proportional to 523,713.76, 722,755.96 and 394,424.20 is: 544,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,713.76 : 722,755.96 = 394,424.20 : x
  2. Step 2: Convert to fraction form
    523,713.76/722,755.96 = 394,424.20/x
  3. Step 3: Cross multiply
    523,713.76x = 722,755.96 × 394,424.20
  4. Step 4: Simplify right side
    523,713.76x = 285,072,441,318.23
  5. Step 5: Solve for x
    x = 285,072,441,318.23/523,713.76
  6. Step 6: Final answer
    x = 544,328.72

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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.