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Finding the Fourth Proportional to 645,999.20, 967,249.20 and 506,031.20

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Solution

The fourth proportional to 645,999.20, 967,249.20 and 506,031.20 is: 757,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,999.20 : 967,249.20 = 506,031.20 : x
  2. Step 2: Convert to fraction form
    645,999.20/967,249.20 = 506,031.20/x
  3. Step 3: Cross multiply
    645,999.20x = 967,249.20 × 506,031.20
  4. Step 4: Simplify right side
    645,999.20x = 489,458,273,375.04
  5. Step 5: Solve for x
    x = 489,458,273,375.04/645,999.20
  6. Step 6: Final answer
    x = 757,676.28

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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.