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Finding the Fourth Proportional to 511,873.48, 705,997.38 and 307,909

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Solution

The fourth proportional to 511,873.48, 705,997.38 and 307,909 is: 424,681.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,873.48 : 705,997.38 = 307,909 : x
  2. Step 2: Convert to fraction form
    511,873.48/705,997.38 = 307,909/x
  3. Step 3: Cross multiply
    511,873.48x = 705,997.38 × 307,909
  4. Step 4: Simplify right side
    511,873.48x = 217,382,947,278.42
  5. Step 5: Solve for x
    x = 217,382,947,278.42/511,873.48
  6. Step 6: Final answer
    x = 424,681.01

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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.