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Finding the Fourth Proportional to 491,673.60, 736,732.80 and 412,358.40

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Solution

The fourth proportional to 491,673.60, 736,732.80 and 412,358.40 is: 617,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,673.60 : 736,732.80 = 412,358.40 : x
  2. Step 2: Convert to fraction form
    491,673.60/736,732.80 = 412,358.40/x
  3. Step 3: Cross multiply
    491,673.60x = 736,732.80 × 412,358.40
  4. Step 4: Simplify right side
    491,673.60x = 303,797,958,635.52
  5. Step 5: Solve for x
    x = 303,797,958,635.52/491,673.60
  6. Step 6: Final answer
    x = 617,885.44

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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.