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Finding the Fourth Proportional to 491,969.60, 736,917.60 and 409,025.60

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Solution

The fourth proportional to 491,969.60, 736,917.60 and 409,025.60 is: 612,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,969.60 : 736,917.60 = 409,025.60 : x
  2. Step 2: Convert to fraction form
    491,969.60/736,917.60 = 409,025.60/x
  3. Step 3: Cross multiply
    491,969.60x = 736,917.60 × 409,025.60
  4. Step 4: Simplify right side
    491,969.60x = 301,418,163,490.56
  5. Step 5: Solve for x
    x = 301,418,163,490.56/491,969.60
  6. Step 6: Final answer
    x = 612,676.40

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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.