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Finding the Fourth Proportional to 428,335.68, 642,794.58 and 228,799.56

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Solution

The fourth proportional to 428,335.68, 642,794.58 and 228,799.56 is: 343,354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,335.68 : 642,794.58 = 228,799.56 : x
  2. Step 2: Convert to fraction form
    428,335.68/642,794.58 = 228,799.56/x
  3. Step 3: Cross multiply
    428,335.68x = 642,794.58 × 228,799.56
  4. Step 4: Simplify right side
    428,335.68x = 147,071,117,074.39
  5. Step 5: Solve for x
    x = 147,071,117,074.39/428,335.68
  6. Step 6: Final answer
    x = 343,354.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.