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Finding the Fourth Proportional to 428,190.68, 642,300.60 and 203,435.12

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Solution

The fourth proportional to 428,190.68, 642,300.60 and 203,435.12 is: 305,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,190.68 : 642,300.60 = 203,435.12 : x
  2. Step 2: Convert to fraction form
    428,190.68/642,300.60 = 203,435.12/x
  3. Step 3: Cross multiply
    428,190.68x = 642,300.60 × 203,435.12
  4. Step 4: Simplify right side
    428,190.68x = 130,666,499,637.07
  5. Step 5: Solve for x
    x = 130,666,499,637.07/428,190.68
  6. Step 6: Final answer
    x = 305,159.61

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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.