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Finding the Fourth Proportional to 428,564.45, 642,852.14 and 295,408.95

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Solution

The fourth proportional to 428,564.45, 642,852.14 and 295,408.95 is: 443,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,564.45 : 642,852.14 = 295,408.95 : x
  2. Step 2: Convert to fraction form
    428,564.45/642,852.14 = 295,408.95/x
  3. Step 3: Cross multiply
    428,564.45x = 642,852.14 × 295,408.95
  4. Step 4: Simplify right side
    428,564.45x = 189,904,275,682.65
  5. Step 5: Solve for x
    x = 189,904,275,682.65/428,564.45
  6. Step 6: Final answer
    x = 443,117.19

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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.