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Finding the Fourth Proportional to 428,562.45, 642,849.14 and 295,406.95

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Solution

The fourth proportional to 428,562.45, 642,849.14 and 295,406.95 is: 443,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,562.45 : 642,849.14 = 295,406.95 : x
  2. Step 2: Convert to fraction form
    428,562.45/642,849.14 = 295,406.95/x
  3. Step 3: Cross multiply
    428,562.45x = 642,849.14 × 295,406.95
  4. Step 4: Simplify right side
    428,562.45x = 189,902,102,280.49
  5. Step 5: Solve for x
    x = 189,902,102,280.49/428,562.45
  6. Step 6: Final answer
    x = 443,114.19

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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.