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Finding the Fourth Proportional to 611,106.75, 843,366.72 and 339,174.65

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Solution

The fourth proportional to 611,106.75, 843,366.72 and 339,174.65 is: 468,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,106.75 : 843,366.72 = 339,174.65 : x
  2. Step 2: Convert to fraction form
    611,106.75/843,366.72 = 339,174.65/x
  3. Step 3: Cross multiply
    611,106.75x = 843,366.72 × 339,174.65
  4. Step 4: Simplify right side
    611,106.75x = 286,048,614,020.66
  5. Step 5: Solve for x
    x = 286,048,614,020.66/611,106.75
  6. Step 6: Final answer
    x = 468,082.89

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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.