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Finding the Fourth Proportional to 382,436.80, 527,893.68 and 231,533.68

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Solution

The fourth proportional to 382,436.80, 527,893.68 and 231,533.68 is: 319,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,436.80 : 527,893.68 = 231,533.68 : x
  2. Step 2: Convert to fraction form
    382,436.80/527,893.68 = 231,533.68/x
  3. Step 3: Cross multiply
    382,436.80x = 527,893.68 × 231,533.68
  4. Step 4: Simplify right side
    382,436.80x = 122,225,166,379.14
  5. Step 5: Solve for x
    x = 122,225,166,379.14/382,436.80
  6. Step 6: Final answer
    x = 319,595.73

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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.