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Finding the Fourth Proportional to 381,087.96, 571,654.38 and 128,347.32

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Solution

The fourth proportional to 381,087.96, 571,654.38 and 128,347.32 is: 192,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,087.96 : 571,654.38 = 128,347.32 : x
  2. Step 2: Convert to fraction form
    381,087.96/571,654.38 = 128,347.32/x
  3. Step 3: Cross multiply
    381,087.96x = 571,654.38 × 128,347.32
  4. Step 4: Simplify right side
    381,087.96x = 73,370,307,639.26
  5. Step 5: Solve for x
    x = 73,370,307,639.26/381,087.96
  6. Step 6: Final answer
    x = 192,528.54

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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.