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Finding the Fourth Proportional to 431,389.40, 647,084.10 and 325,635.80

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Solution

The fourth proportional to 431,389.40, 647,084.10 and 325,635.80 is: 488,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,389.40 : 647,084.10 = 325,635.80 : x
  2. Step 2: Convert to fraction form
    431,389.40/647,084.10 = 325,635.80/x
  3. Step 3: Cross multiply
    431,389.40x = 647,084.10 × 325,635.80
  4. Step 4: Simplify right side
    431,389.40x = 210,713,748,570.78
  5. Step 5: Solve for x
    x = 210,713,748,570.78/431,389.40
  6. Step 6: Final answer
    x = 488,453.70

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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.