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Finding the Fourth Proportional to 431,395.40, 646,607.10 and 206,863.40

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Solution

The fourth proportional to 431,395.40, 646,607.10 and 206,863.40 is: 310,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,395.40 : 646,607.10 = 206,863.40 : x
  2. Step 2: Convert to fraction form
    431,395.40/646,607.10 = 206,863.40/x
  3. Step 3: Cross multiply
    431,395.40x = 646,607.10 × 206,863.40
  4. Step 4: Simplify right side
    431,395.40x = 133,759,343,170.14
  5. Step 5: Solve for x
    x = 133,759,343,170.14/431,395.40
  6. Step 6: Final answer
    x = 310,062.05

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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.