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Finding the Fourth Proportional to 312,459.85, 431,189.49 and 169,218.64

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Solution

The fourth proportional to 312,459.85, 431,189.49 and 169,218.64 is: 233,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,459.85 : 431,189.49 = 169,218.64 : x
  2. Step 2: Convert to fraction form
    312,459.85/431,189.49 = 169,218.64/x
  3. Step 3: Cross multiply
    312,459.85x = 431,189.49 × 169,218.64
  4. Step 4: Simplify right side
    312,459.85x = 72,965,299,080.09
  5. Step 5: Solve for x
    x = 72,965,299,080.09/312,459.85
  6. Step 6: Final answer
    x = 233,518.96

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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.