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Finding the Fourth Proportional to 511,872.48, 705,996 and 307,908

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Solution

The fourth proportional to 511,872.48, 705,996 and 307,908 is: 424,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,872.48 : 705,996 = 307,908 : x
  2. Step 2: Convert to fraction form
    511,872.48/705,996 = 307,908/x
  3. Step 3: Cross multiply
    511,872.48x = 705,996 × 307,908
  4. Step 4: Simplify right side
    511,872.48x = 217,381,816,368
  5. Step 5: Solve for x
    x = 217,381,816,368/511,872.48
  6. Step 6: Final answer
    x = 424,679.63

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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.