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Finding the Fourth Proportional to 385,228.48, 577,857.84 and 118,965.28

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Solution

The fourth proportional to 385,228.48, 577,857.84 and 118,965.28 is: 178,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,228.48 : 577,857.84 = 118,965.28 : x
  2. Step 2: Convert to fraction form
    385,228.48/577,857.84 = 118,965.28/x
  3. Step 3: Cross multiply
    385,228.48x = 577,857.84 × 118,965.28
  4. Step 4: Simplify right side
    385,228.48x = 68,745,019,735.80
  5. Step 5: Solve for x
    x = 68,745,019,735.80/385,228.48
  6. Step 6: Final answer
    x = 178,452.59

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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.