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Finding the Fourth Proportional to 491,362.50, 736,254 and 412,630.50

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Solution

The fourth proportional to 491,362.50, 736,254 and 412,630.50 is: 618,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,362.50 : 736,254 = 412,630.50 : x
  2. Step 2: Convert to fraction form
    491,362.50/736,254 = 412,630.50/x
  3. Step 3: Cross multiply
    491,362.50x = 736,254 × 412,630.50
  4. Step 4: Simplify right side
    491,362.50x = 303,800,856,147
  5. Step 5: Solve for x
    x = 303,800,856,147/491,362.50
  6. Step 6: Final answer
    x = 618,282.54

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1.5x scale

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.