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Finding the Fourth Proportional to 297,318.82, 445,974.34 and 72,681.23

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Solution

The fourth proportional to 297,318.82, 445,974.34 and 72,681.23 is: 109,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,318.82 : 445,974.34 = 72,681.23 : x
  2. Step 2: Convert to fraction form
    297,318.82/445,974.34 = 72,681.23/x
  3. Step 3: Cross multiply
    297,318.82x = 445,974.34 × 72,681.23
  4. Step 4: Simplify right side
    297,318.82x = 32,413,963,579.64
  5. Step 5: Solve for x
    x = 32,413,963,579.64/297,318.82
  6. Step 6: Final answer
    x = 109,020.89

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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.