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Finding the Fourth Proportional to 523,453.76, 722,348 and 319,845.52

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Solution

The fourth proportional to 523,453.76, 722,348 and 319,845.52 is: 441,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,453.76 : 722,348 = 319,845.52 : x
  2. Step 2: Convert to fraction form
    523,453.76/722,348 = 319,845.52/x
  3. Step 3: Cross multiply
    523,453.76x = 722,348 × 319,845.52
  4. Step 4: Simplify right side
    523,453.76x = 231,039,771,680.96
  5. Step 5: Solve for x
    x = 231,039,771,680.96/523,453.76
  6. Step 6: Final answer
    x = 441,375.70

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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.