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Finding the Fourth Proportional to 385,414.20, 578,121.30 and 338,758.20

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Solution

The fourth proportional to 385,414.20, 578,121.30 and 338,758.20 is: 508,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,414.20 : 578,121.30 = 338,758.20 : x
  2. Step 2: Convert to fraction form
    385,414.20/578,121.30 = 338,758.20/x
  3. Step 3: Cross multiply
    385,414.20x = 578,121.30 × 338,758.20
  4. Step 4: Simplify right side
    385,414.20x = 195,843,330,969.66
  5. Step 5: Solve for x
    x = 195,843,330,969.66/385,414.20
  6. Step 6: Final answer
    x = 508,137.30

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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.