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Finding the Fourth Proportional to 511,434.52, 705,490.62 and 320,115.76

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Solution

The fourth proportional to 511,434.52, 705,490.62 and 320,115.76 is: 441,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,434.52 : 705,490.62 = 320,115.76 : x
  2. Step 2: Convert to fraction form
    511,434.52/705,490.62 = 320,115.76/x
  3. Step 3: Cross multiply
    511,434.52x = 705,490.62 × 320,115.76
  4. Step 4: Simplify right side
    511,434.52x = 225,838,665,994.17
  5. Step 5: Solve for x
    x = 225,838,665,994.17/511,434.52
  6. Step 6: Final answer
    x = 441,578.85

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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.