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Finding the Fourth Proportional to 421,097.54, 631,049.20 and 325,884.50

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Solution

The fourth proportional to 421,097.54, 631,049.20 and 325,884.50 is: 488,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,097.54 : 631,049.20 = 325,884.50 : x
  2. Step 2: Convert to fraction form
    421,097.54/631,049.20 = 325,884.50/x
  3. Step 3: Cross multiply
    421,097.54x = 631,049.20 × 325,884.50
  4. Step 4: Simplify right side
    421,097.54x = 205,649,153,017.40
  5. Step 5: Solve for x
    x = 205,649,153,017.40/421,097.54
  6. Step 6: Final answer
    x = 488,364.65

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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.