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Finding the Fourth Proportional to 309,662.34, 427,176.50 and 202,295.22

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Solution

The fourth proportional to 309,662.34, 427,176.50 and 202,295.22 is: 279,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,662.34 : 427,176.50 = 202,295.22 : x
  2. Step 2: Convert to fraction form
    309,662.34/427,176.50 = 202,295.22/x
  3. Step 3: Cross multiply
    309,662.34x = 427,176.50 × 202,295.22
  4. Step 4: Simplify right side
    309,662.34x = 86,415,763,034.85
  5. Step 5: Solve for x
    x = 86,415,763,034.85/309,662.34
  6. Step 6: Final answer
    x = 279,064.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.