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Finding the Fourth Proportional to 409,382.72, 611,195.54 and 312,814.55

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Solution

The fourth proportional to 409,382.72, 611,195.54 and 312,814.55 is: 467,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,382.72 : 611,195.54 = 312,814.55 : x
  2. Step 2: Convert to fraction form
    409,382.72/611,195.54 = 312,814.55/x
  3. Step 3: Cross multiply
    409,382.72x = 611,195.54 × 312,814.55
  4. Step 4: Simplify right side
    409,382.72x = 191,190,853,187.06
  5. Step 5: Solve for x
    x = 191,190,853,187.06/409,382.72
  6. Step 6: Final answer
    x = 467,022.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.