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Finding the Fourth Proportional to 491,102.20, 736,653.30 and 412,305.40

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Solution

The fourth proportional to 491,102.20, 736,653.30 and 412,305.40 is: 618,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,102.20 : 736,653.30 = 412,305.40 : x
  2. Step 2: Convert to fraction form
    491,102.20/736,653.30 = 412,305.40/x
  3. Step 3: Cross multiply
    491,102.20x = 736,653.30 × 412,305.40
  4. Step 4: Simplify right side
    491,102.20x = 303,726,133,517.82
  5. Step 5: Solve for x
    x = 303,726,133,517.82/491,102.20
  6. Step 6: Final answer
    x = 618,458.10

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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.