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Finding the Fourth Proportional to 428,562.95, 642,849.89 and 295,407.45

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Solution

The fourth proportional to 428,562.95, 642,849.89 and 295,407.45 is: 443,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,562.95 : 642,849.89 = 295,407.45 : x
  2. Step 2: Convert to fraction form
    428,562.95/642,849.89 = 295,407.45/x
  3. Step 3: Cross multiply
    428,562.95x = 642,849.89 × 295,407.45
  4. Step 4: Simplify right side
    428,562.95x = 189,902,645,260.64
  5. Step 5: Solve for x
    x = 189,902,645,260.64/428,562.95
  6. Step 6: Final answer
    x = 443,114.94

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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.