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Finding the Fourth Proportional to 385,107.29, 577,438.59 and 118,796.30

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Solution

The fourth proportional to 385,107.29, 577,438.59 and 118,796.30 is: 178,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,107.29 : 577,438.59 = 118,796.30 : x
  2. Step 2: Convert to fraction form
    385,107.29/577,438.59 = 118,796.30/x
  3. Step 3: Cross multiply
    385,107.29x = 577,438.59 × 118,796.30
  4. Step 4: Simplify right side
    385,107.29x = 68,597,567,375.24
  5. Step 5: Solve for x
    x = 68,597,567,375.24/385,107.29
  6. Step 6: Final answer
    x = 178,125.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.