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Finding the Fourth Proportional to 428,039.45, 642,101.64 and 158,238.28

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Solution

The fourth proportional to 428,039.45, 642,101.64 and 158,238.28 is: 237,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,039.45 : 642,101.64 = 158,238.28 : x
  2. Step 2: Convert to fraction form
    428,039.45/642,101.64 = 158,238.28/x
  3. Step 3: Cross multiply
    428,039.45x = 642,101.64 × 158,238.28
  4. Step 4: Simplify right side
    428,039.45x = 101,605,059,098.78
  5. Step 5: Solve for x
    x = 101,605,059,098.78/428,039.45
  6. Step 6: Final answer
    x = 237,373.12

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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.