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Finding the Fourth Proportional to 328,382.10, 492,536.70 and 269,114.40

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Solution

The fourth proportional to 328,382.10, 492,536.70 and 269,114.40 is: 403,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,382.10 : 492,536.70 = 269,114.40 : x
  2. Step 2: Convert to fraction form
    328,382.10/492,536.70 = 269,114.40/x
  3. Step 3: Cross multiply
    328,382.10x = 492,536.70 × 269,114.40
  4. Step 4: Simplify right side
    328,382.10x = 132,548,718,498.48
  5. Step 5: Solve for x
    x = 132,548,718,498.48/328,382.10
  6. Step 6: Final answer
    x = 403,641.73

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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.