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Finding the Fourth Proportional to 431,374.40, 647,061.60 and 325,620.80

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Solution

The fourth proportional to 431,374.40, 647,061.60 and 325,620.80 is: 488,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,374.40 : 647,061.60 = 325,620.80 : x
  2. Step 2: Convert to fraction form
    431,374.40/647,061.60 = 325,620.80/x
  3. Step 3: Cross multiply
    431,374.40x = 647,061.60 × 325,620.80
  4. Step 4: Simplify right side
    431,374.40x = 210,696,715,841.28
  5. Step 5: Solve for x
    x = 210,696,715,841.28/431,374.40
  6. Step 6: Final answer
    x = 488,431.20

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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.