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Finding the Fourth Proportional to 611,135.64, 843,351.42 and 339,195.57

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Solution

The fourth proportional to 611,135.64, 843,351.42 and 339,195.57 is: 468,081.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,135.64 : 843,351.42 = 339,195.57 : x
  2. Step 2: Convert to fraction form
    611,135.64/843,351.42 = 339,195.57/x
  3. Step 3: Cross multiply
    611,135.64x = 843,351.42 × 339,195.57
  4. Step 4: Simplify right side
    611,135.64x = 286,061,065,617.21
  5. Step 5: Solve for x
    x = 286,061,065,617.21/611,135.64
  6. Step 6: Final answer
    x = 468,081.14

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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.