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Finding the Fourth Proportional to 611,438, 843,784.44 and 343,166

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Solution

The fourth proportional to 611,438, 843,784.44 and 343,166 is: 473,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,438 : 843,784.44 = 343,166 : x
  2. Step 2: Convert to fraction form
    611,438/843,784.44 = 343,166/x
  3. Step 3: Cross multiply
    611,438x = 843,784.44 × 343,166
  4. Step 4: Simplify right side
    611,438x = 289,558,131,137.04
  5. Step 5: Solve for x
    x = 289,558,131,137.04/611,438
  6. Step 6: Final answer
    x = 473,569.08

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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.