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Finding the Fourth Proportional to 391,428.23, 540,161.80 and 230,293.64

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Solution

The fourth proportional to 391,428.23, 540,161.80 and 230,293.64 is: 317,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,428.23 : 540,161.80 = 230,293.64 : x
  2. Step 2: Convert to fraction form
    391,428.23/540,161.80 = 230,293.64/x
  3. Step 3: Cross multiply
    391,428.23x = 540,161.80 × 230,293.64
  4. Step 4: Simplify right side
    391,428.23x = 124,395,827,885.62
  5. Step 5: Solve for x
    x = 124,395,827,885.62/391,428.23
  6. Step 6: Final answer
    x = 317,799.84

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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.