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Finding the Fourth Proportional to 645,530.40, 965,991.60 and 408,986.40

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Solution

The fourth proportional to 645,530.40, 965,991.60 and 408,986.40 is: 612,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,530.40 : 965,991.60 = 408,986.40 : x
  2. Step 2: Convert to fraction form
    645,530.40/965,991.60 = 408,986.40/x
  3. Step 3: Cross multiply
    645,530.40x = 965,991.60 × 408,986.40
  4. Step 4: Simplify right side
    645,530.40x = 395,077,426,914.24
  5. Step 5: Solve for x
    x = 395,077,426,914.24/645,530.40
  6. Step 6: Final answer
    x = 612,019.86

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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.