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Finding the Fourth Proportional to 213,471.84, 320,226 and 63,702.48

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Solution

The fourth proportional to 213,471.84, 320,226 and 63,702.48 is: 95,559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,471.84 : 320,226 = 63,702.48 : x
  2. Step 2: Convert to fraction form
    213,471.84/320,226 = 63,702.48/x
  3. Step 3: Cross multiply
    213,471.84x = 320,226 × 63,702.48
  4. Step 4: Simplify right side
    213,471.84x = 20,399,190,360.48
  5. Step 5: Solve for x
    x = 20,399,190,360.48/213,471.84
  6. Step 6: Final answer
    x = 95,559.16

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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.