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Finding the Fourth Proportional to 431,390.40, 647,085.60 and 325,636.80

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Solution

The fourth proportional to 431,390.40, 647,085.60 and 325,636.80 is: 488,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,390.40 : 647,085.60 = 325,636.80 : x
  2. Step 2: Convert to fraction form
    431,390.40/647,085.60 = 325,636.80/x
  3. Step 3: Cross multiply
    431,390.40x = 647,085.60 × 325,636.80
  4. Step 4: Simplify right side
    431,390.40x = 210,714,884,110.08
  5. Step 5: Solve for x
    x = 210,714,884,110.08/431,390.40
  6. Step 6: Final answer
    x = 488,455.20

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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.