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Finding the Fourth Proportional to 428,546.16, 642,824.73 and 295,390.68

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Solution

The fourth proportional to 428,546.16, 642,824.73 and 295,390.68 is: 443,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,546.16 : 642,824.73 = 295,390.68 : x
  2. Step 2: Convert to fraction form
    428,546.16/642,824.73 = 295,390.68/x
  3. Step 3: Cross multiply
    428,546.16x = 642,824.73 × 295,390.68
  4. Step 4: Simplify right side
    428,546.16x = 189,884,434,115.52
  5. Step 5: Solve for x
    x = 189,884,434,115.52/428,546.16
  6. Step 6: Final answer
    x = 443,089.80

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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.