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Finding the Fourth Proportional to 389,653.22, 583,963.13 and 200,105.93

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Solution

The fourth proportional to 389,653.22, 583,963.13 and 200,105.93 is: 299,893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,653.22 : 583,963.13 = 200,105.93 : x
  2. Step 2: Convert to fraction form
    389,653.22/583,963.13 = 200,105.93/x
  3. Step 3: Cross multiply
    389,653.22x = 583,963.13 × 200,105.93
  4. Step 4: Simplify right side
    389,653.22x = 116,854,481,294.02
  5. Step 5: Solve for x
    x = 116,854,481,294.02/389,653.22
  6. Step 6: Final answer
    x = 299,893.54

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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.