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Finding the Fourth Proportional to 472,029.21, 707,945.40 and 172,650.78

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Solution

The fourth proportional to 472,029.21, 707,945.40 and 172,650.78 is: 258,940.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,029.21 : 707,945.40 = 172,650.78 : x
  2. Step 2: Convert to fraction form
    472,029.21/707,945.40 = 172,650.78/x
  3. Step 3: Cross multiply
    472,029.21x = 707,945.40 × 172,650.78
  4. Step 4: Simplify right side
    472,029.21x = 122,227,325,507.41
  5. Step 5: Solve for x
    x = 122,227,325,507.41/472,029.21
  6. Step 6: Final answer
    x = 258,940.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.