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Finding the Fourth Proportional to 567,644.49, 783,348.57 and 312,996.29

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Solution

The fourth proportional to 567,644.49, 783,348.57 and 312,996.29 is: 431,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,644.49 : 783,348.57 = 312,996.29 : x
  2. Step 2: Convert to fraction form
    567,644.49/783,348.57 = 312,996.29/x
  3. Step 3: Cross multiply
    567,644.49x = 783,348.57 × 312,996.29
  4. Step 4: Simplify right side
    567,644.49x = 245,185,192,270.06
  5. Step 5: Solve for x
    x = 245,185,192,270.06/567,644.49
  6. Step 6: Final answer
    x = 431,934.42

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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.