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Finding the Fourth Proportional to 326,133.64, 449,992.56 and 315,381.80

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Solution

The fourth proportional to 326,133.64, 449,992.56 and 315,381.80 is: 435,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,133.64 : 449,992.56 = 315,381.80 : x
  2. Step 2: Convert to fraction form
    326,133.64/449,992.56 = 315,381.80/x
  3. Step 3: Cross multiply
    326,133.64x = 449,992.56 × 315,381.80
  4. Step 4: Simplify right side
    326,133.64x = 141,919,465,867.07
  5. Step 5: Solve for x
    x = 141,919,465,867.07/326,133.64
  6. Step 6: Final answer
    x = 435,157.40

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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.