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Finding the Fourth Proportional to 314,674.20, 434,249.10 and 171,433.80

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Solution

The fourth proportional to 314,674.20, 434,249.10 and 171,433.80 is: 236,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,674.20 : 434,249.10 = 171,433.80 : x
  2. Step 2: Convert to fraction form
    314,674.20/434,249.10 = 171,433.80/x
  3. Step 3: Cross multiply
    314,674.20x = 434,249.10 × 171,433.80
  4. Step 4: Simplify right side
    314,674.20x = 74,444,973,359.58
  5. Step 5: Solve for x
    x = 74,444,973,359.58/314,674.20
  6. Step 6: Final answer
    x = 236,577.94

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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.