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Finding the Fourth Proportional to 511,542.88, 705,933.84 and 307,600

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Solution

The fourth proportional to 511,542.88, 705,933.84 and 307,600 is: 424,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,542.88 : 705,933.84 = 307,600 : x
  2. Step 2: Convert to fraction form
    511,542.88/705,933.84 = 307,600/x
  3. Step 3: Cross multiply
    511,542.88x = 705,933.84 × 307,600
  4. Step 4: Simplify right side
    511,542.88x = 217,145,249,184
  5. Step 5: Solve for x
    x = 217,145,249,184/511,542.88
  6. Step 6: Final answer
    x = 424,490.81

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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.