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Finding the Fourth Proportional to 428,081.40, 642,128.34 and 203,464.74

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Solution

The fourth proportional to 428,081.40, 642,128.34 and 203,464.74 is: 305,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,081.40 : 642,128.34 = 203,464.74 : x
  2. Step 2: Convert to fraction form
    428,081.40/642,128.34 = 203,464.74/x
  3. Step 3: Cross multiply
    428,081.40x = 642,128.34 × 203,464.74
  4. Step 4: Simplify right side
    428,081.40x = 130,650,475,744.73
  5. Step 5: Solve for x
    x = 130,650,475,744.73/428,081.40
  6. Step 6: Final answer
    x = 305,200.08

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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.