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Finding the Fourth Proportional to 511,013.68, 705,491.18 and 339,164.70

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Solution

The fourth proportional to 511,013.68, 705,491.18 and 339,164.70 is: 468,241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,013.68 : 705,491.18 = 339,164.70 : x
  2. Step 2: Convert to fraction form
    511,013.68/705,491.18 = 339,164.70/x
  3. Step 3: Cross multiply
    511,013.68x = 705,491.18 × 339,164.70
  4. Step 4: Simplify right side
    511,013.68x = 239,277,704,417.35
  5. Step 5: Solve for x
    x = 239,277,704,417.35/511,013.68
  6. Step 6: Final answer
    x = 468,241.29

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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.