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Finding the Fourth Proportional to 421,099.21, 631,051.71 and 325,886.17

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Solution

The fourth proportional to 421,099.21, 631,051.71 and 325,886.17 is: 488,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,099.21 : 631,051.71 = 325,886.17 : x
  2. Step 2: Convert to fraction form
    421,099.21/631,051.71 = 325,886.17/x
  3. Step 3: Cross multiply
    421,099.21x = 631,051.71 × 325,886.17
  4. Step 4: Simplify right side
    421,099.21x = 205,651,024,843.85
  5. Step 5: Solve for x
    x = 205,651,024,843.85/421,099.21
  6. Step 6: Final answer
    x = 488,367.16

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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.