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Finding the Fourth Proportional to 611,439, 843,785.82 and 343,167

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Solution

The fourth proportional to 611,439, 843,785.82 and 343,167 is: 473,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,439 : 843,785.82 = 343,167 : x
  2. Step 2: Convert to fraction form
    611,439/843,785.82 = 343,167/x
  3. Step 3: Cross multiply
    611,439x = 843,785.82 × 343,167
  4. Step 4: Simplify right side
    611,439x = 289,559,448,491.94
  5. Step 5: Solve for x
    x = 289,559,448,491.94/611,439
  6. Step 6: Final answer
    x = 473,570.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.