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Finding the Fourth Proportional to 441,773.40, 663,005.70 and 205,145.40

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Solution

The fourth proportional to 441,773.40, 663,005.70 and 205,145.40 is: 307,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,773.40 : 663,005.70 = 205,145.40 : x
  2. Step 2: Convert to fraction form
    441,773.40/663,005.70 = 205,145.40/x
  3. Step 3: Cross multiply
    441,773.40x = 663,005.70 × 205,145.40
  4. Step 4: Simplify right side
    441,773.40x = 136,012,569,528.78
  5. Step 5: Solve for x
    x = 136,012,569,528.78/441,773.40
  6. Step 6: Final answer
    x = 307,878.59

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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.