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Finding the Fourth Proportional to 421,680.60, 632,330.72 and 208,365.34

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Solution

The fourth proportional to 421,680.60, 632,330.72 and 208,365.34 is: 312,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,680.60 : 632,330.72 = 208,365.34 : x
  2. Step 2: Convert to fraction form
    421,680.60/632,330.72 = 208,365.34/x
  3. Step 3: Cross multiply
    421,680.60x = 632,330.72 × 208,365.34
  4. Step 4: Simplify right side
    421,680.60x = 131,755,805,465.25
  5. Step 5: Solve for x
    x = 131,755,805,465.25/421,680.60
  6. Step 6: Final answer
    x = 312,454.04

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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.