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Finding the Fourth Proportional to 384,764.62, 531,315.60 and 239,817.78

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Solution

The fourth proportional to 384,764.62, 531,315.60 and 239,817.78 is: 331,160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,764.62 : 531,315.60 = 239,817.78 : x
  2. Step 2: Convert to fraction form
    384,764.62/531,315.60 = 239,817.78/x
  3. Step 3: Cross multiply
    384,764.62x = 531,315.60 × 239,817.78
  4. Step 4: Simplify right side
    384,764.62x = 127,418,927,671.37
  5. Step 5: Solve for x
    x = 127,418,927,671.37/384,764.62
  6. Step 6: Final answer
    x = 331,160.72

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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.