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Finding the Fourth Proportional to 485,843.84, 729,726.24 and 294,105.92

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Solution

The fourth proportional to 485,843.84, 729,726.24 and 294,105.92 is: 441,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,843.84 : 729,726.24 = 294,105.92 : x
  2. Step 2: Convert to fraction form
    485,843.84/729,726.24 = 294,105.92/x
  3. Step 3: Cross multiply
    485,843.84x = 729,726.24 × 294,105.92
  4. Step 4: Simplify right side
    485,843.84x = 214,616,807,163.34
  5. Step 5: Solve for x
    x = 214,616,807,163.34/485,843.84
  6. Step 6: Final answer
    x = 441,740.31

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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.