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Finding the Fourth Proportional to 431,857.12, 595,654.32 and 374,393.72

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Solution

The fourth proportional to 431,857.12, 595,654.32 and 374,393.72 is: 516,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,857.12 : 595,654.32 = 374,393.72 : x
  2. Step 2: Convert to fraction form
    431,857.12/595,654.32 = 374,393.72/x
  3. Step 3: Cross multiply
    431,857.12x = 595,654.32 × 374,393.72
  4. Step 4: Simplify right side
    431,857.12x = 223,009,236,698.87
  5. Step 5: Solve for x
    x = 223,009,236,698.87/431,857.12
  6. Step 6: Final answer
    x = 516,395.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.