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Finding the Fourth Proportional to 421,680.10, 632,329.98 and 208,364.85

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Solution

The fourth proportional to 421,680.10, 632,329.98 and 208,364.85 is: 312,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,680.10 : 632,329.98 = 208,364.85 : x
  2. Step 2: Convert to fraction form
    421,680.10/632,329.98 = 208,364.85/x
  3. Step 3: Cross multiply
    421,680.10x = 632,329.98 × 208,364.85
  4. Step 4: Simplify right side
    421,680.10x = 131,755,341,433.20
  5. Step 5: Solve for x
    x = 131,755,341,433.20/421,680.10
  6. Step 6: Final answer
    x = 312,453.31

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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.