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Finding the Fourth Proportional to 383,508.42, 529,259.70 and 213,743.76

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Solution

The fourth proportional to 383,508.42, 529,259.70 and 213,743.76 is: 294,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,508.42 : 529,259.70 = 213,743.76 : x
  2. Step 2: Convert to fraction form
    383,508.42/529,259.70 = 213,743.76/x
  3. Step 3: Cross multiply
    383,508.42x = 529,259.70 × 213,743.76
  4. Step 4: Simplify right side
    383,508.42x = 113,125,958,294.47
  5. Step 5: Solve for x
    x = 113,125,958,294.47/383,508.42
  6. Step 6: Final answer
    x = 294,976.47

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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.