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Finding the Fourth Proportional to 491,243.78, 736,865.60 and 136,257.80

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Solution

The fourth proportional to 491,243.78, 736,865.60 and 136,257.80 is: 204,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,243.78 : 736,865.60 = 136,257.80 : x
  2. Step 2: Convert to fraction form
    491,243.78/736,865.60 = 136,257.80/x
  3. Step 3: Cross multiply
    491,243.78x = 736,865.60 × 136,257.80
  4. Step 4: Simplify right side
    491,243.78x = 100,403,681,186.06
  5. Step 5: Solve for x
    x = 100,403,681,186.06/491,243.78
  6. Step 6: Final answer
    x = 204,386.67

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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.