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Finding the Fourth Proportional to 431,504.43, 646,807.49 and 241,686.51

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Solution

The fourth proportional to 431,504.43, 646,807.49 and 241,686.51 is: 362,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,504.43 : 646,807.49 = 241,686.51 : x
  2. Step 2: Convert to fraction form
    431,504.43/646,807.49 = 241,686.51/x
  3. Step 3: Cross multiply
    431,504.43x = 646,807.49 × 241,686.51
  4. Step 4: Simplify right side
    431,504.43x = 156,324,643,691.53
  5. Step 5: Solve for x
    x = 156,324,643,691.53/431,504.43
  6. Step 6: Final answer
    x = 362,278.19

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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.