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Finding the Fourth Proportional to 428,269.45, 642,185.47 and 158,383.93

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Solution

The fourth proportional to 428,269.45, 642,185.47 and 158,383.93 is: 237,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,269.45 : 642,185.47 = 158,383.93 : x
  2. Step 2: Convert to fraction form
    428,269.45/642,185.47 = 158,383.93/x
  3. Step 3: Cross multiply
    428,269.45x = 642,185.47 × 158,383.93
  4. Step 4: Simplify right side
    428,269.45x = 101,711,858,527.50
  5. Step 5: Solve for x
    x = 101,711,858,527.50/428,269.45
  6. Step 6: Final answer
    x = 237,495.01

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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.