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Finding the Fourth Proportional to 305,310.16, 421,241.88 and 197,884.72

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Solution

The fourth proportional to 305,310.16, 421,241.88 and 197,884.72 is: 273,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,310.16 : 421,241.88 = 197,884.72 : x
  2. Step 2: Convert to fraction form
    305,310.16/421,241.88 = 197,884.72/x
  3. Step 3: Cross multiply
    305,310.16x = 421,241.88 × 197,884.72
  4. Step 4: Simplify right side
    305,310.16x = 83,357,331,476.07
  5. Step 5: Solve for x
    x = 83,357,331,476.07/305,310.16
  6. Step 6: Final answer
    x = 273,025.08

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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.