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Finding the Fourth Proportional to 523,534.89, 722,458.11 and 319,926.42

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Solution

The fourth proportional to 523,534.89, 722,458.11 and 319,926.42 is: 441,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,534.89 : 722,458.11 = 319,926.42 : x
  2. Step 2: Convert to fraction form
    523,534.89/722,458.11 = 319,926.42/x
  3. Step 3: Cross multiply
    523,534.89x = 722,458.11 × 319,926.42
  4. Step 4: Simplify right side
    523,534.89x = 231,133,436,732.27
  5. Step 5: Solve for x
    x = 231,133,436,732.27/523,534.89
  6. Step 6: Final answer
    x = 441,486.21

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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.