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Finding the Fourth Proportional to 328,390.29, 492,606.19 and 138,815.32

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Solution

The fourth proportional to 328,390.29, 492,606.19 and 138,815.32 is: 208,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,390.29 : 492,606.19 = 138,815.32 : x
  2. Step 2: Convert to fraction form
    328,390.29/492,606.19 = 138,815.32/x
  3. Step 3: Cross multiply
    328,390.29x = 492,606.19 × 138,815.32
  4. Step 4: Simplify right side
    328,390.29x = 68,381,285,898.83
  5. Step 5: Solve for x
    x = 68,381,285,898.83/328,390.29
  6. Step 6: Final answer
    x = 208,231.76

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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.