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Finding the Fourth Proportional to 557,920.05, 769,930.16 and 303,271.23

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Solution

The fourth proportional to 557,920.05, 769,930.16 and 303,271.23 is: 418,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,920.05 : 769,930.16 = 303,271.23 : x
  2. Step 2: Convert to fraction form
    557,920.05/769,930.16 = 303,271.23/x
  3. Step 3: Cross multiply
    557,920.05x = 769,930.16 × 303,271.23
  4. Step 4: Simplify right side
    557,920.05x = 233,497,666,637.30
  5. Step 5: Solve for x
    x = 233,497,666,637.30/557,920.05
  6. Step 6: Final answer
    x = 418,514.56

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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.