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Finding the Fourth Proportional to 328,005.28, 492,077.04 and 106,372

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Solution

The fourth proportional to 328,005.28, 492,077.04 and 106,372 is: 159,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,005.28 : 492,077.04 = 106,372 : x
  2. Step 2: Convert to fraction form
    328,005.28/492,077.04 = 106,372/x
  3. Step 3: Cross multiply
    328,005.28x = 492,077.04 × 106,372
  4. Step 4: Simplify right side
    328,005.28x = 52,343,218,898.88
  5. Step 5: Solve for x
    x = 52,343,218,898.88/328,005.28
  6. Step 6: Final answer
    x = 159,580.42

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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.