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Finding the Fourth Proportional to 491,680.60, 736,743.30 and 412,365.40

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Solution

The fourth proportional to 491,680.60, 736,743.30 and 412,365.40 is: 617,895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,680.60 : 736,743.30 = 412,365.40 : x
  2. Step 2: Convert to fraction form
    491,680.60/736,743.30 = 412,365.40/x
  3. Step 3: Cross multiply
    491,680.60x = 736,743.30 × 412,365.40
  4. Step 4: Simplify right side
    491,680.60x = 303,807,445,601.82
  5. Step 5: Solve for x
    x = 303,807,445,601.82/491,680.60
  6. Step 6: Final answer
    x = 617,895.94

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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.