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Finding the Fourth Proportional to 491,679.60, 736,741.80 and 412,364.40

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Solution

The fourth proportional to 491,679.60, 736,741.80 and 412,364.40 is: 617,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,679.60 : 736,741.80 = 412,364.40 : x
  2. Step 2: Convert to fraction form
    491,679.60/736,741.80 = 412,364.40/x
  3. Step 3: Cross multiply
    491,679.60x = 736,741.80 × 412,364.40
  4. Step 4: Simplify right side
    491,679.60x = 303,806,090,311.92
  5. Step 5: Solve for x
    x = 303,806,090,311.92/491,679.60
  6. Step 6: Final answer
    x = 617,894.44

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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.