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Finding the Fourth Proportional to 438,576, 657,956.16 and 175,920

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Solution

The fourth proportional to 438,576, 657,956.16 and 175,920 is: 263,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,576 : 657,956.16 = 175,920 : x
  2. Step 2: Convert to fraction form
    438,576/657,956.16 = 175,920/x
  3. Step 3: Cross multiply
    438,576x = 657,956.16 × 175,920
  4. Step 4: Simplify right side
    438,576x = 115,747,647,667.20
  5. Step 5: Solve for x
    x = 115,747,647,667.20/438,576
  6. Step 6: Final answer
    x = 263,916.97

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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.