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Finding the Fourth Proportional to 523,299.42, 722,235.51 and 319,394.46

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Solution

The fourth proportional to 523,299.42, 722,235.51 and 319,394.46 is: 440,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,299.42 : 722,235.51 = 319,394.46 : x
  2. Step 2: Convert to fraction form
    523,299.42/722,235.51 = 319,394.46/x
  3. Step 3: Cross multiply
    523,299.42x = 722,235.51 × 319,394.46
  4. Step 4: Simplify right side
    523,299.42x = 230,678,020,709.28
  5. Step 5: Solve for x
    x = 230,678,020,709.28/523,299.42
  6. Step 6: Final answer
    x = 440,814.59

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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.