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Finding the Fourth Proportional to 385,455.40, 578,179.76 and 301,286.28

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Solution

The fourth proportional to 385,455.40, 578,179.76 and 301,286.28 is: 451,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,455.40 : 578,179.76 = 301,286.28 : x
  2. Step 2: Convert to fraction form
    385,455.40/578,179.76 = 301,286.28/x
  3. Step 3: Cross multiply
    385,455.40x = 578,179.76 × 301,286.28
  4. Step 4: Simplify right side
    385,455.40x = 174,197,629,061.69
  5. Step 5: Solve for x
    x = 174,197,629,061.69/385,455.40
  6. Step 6: Final answer
    x = 451,926.81

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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.