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Finding the Fourth Proportional to 389,009.98, 536,876.47 and 225,702.44

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Solution

The fourth proportional to 389,009.98, 536,876.47 and 225,702.44 is: 311,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,009.98 : 536,876.47 = 225,702.44 : x
  2. Step 2: Convert to fraction form
    389,009.98/536,876.47 = 225,702.44/x
  3. Step 3: Cross multiply
    389,009.98x = 536,876.47 × 225,702.44
  4. Step 4: Simplify right side
    389,009.98x = 121,174,329,257.59
  5. Step 5: Solve for x
    x = 121,174,329,257.59/389,009.98
  6. Step 6: Final answer
    x = 311,494.14

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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.