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Finding the Fourth Proportional to 512,625.89, 707,030.56 and 308,463.97

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Solution

The fourth proportional to 512,625.89, 707,030.56 and 308,463.97 is: 425,443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,625.89 : 707,030.56 = 308,463.97 : x
  2. Step 2: Convert to fraction form
    512,625.89/707,030.56 = 308,463.97/x
  3. Step 3: Cross multiply
    512,625.89x = 707,030.56 × 308,463.97
  4. Step 4: Simplify right side
    512,625.89x = 218,093,454,947.35
  5. Step 5: Solve for x
    x = 218,093,454,947.35/512,625.89
  6. Step 6: Final answer
    x = 425,443.70

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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.